7T Find the derivative of f(x) = 2 cos (x) +9 sin (x) at the point z = Provide your answer below:

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

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Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

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Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

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Q: Q3) find the derivative of each function: 1) y=x?sin*2x + x cos-3x 2) y? = (sin2x)* + (cos2x)* + 2xy…

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Q: 5cos3(x) Гу 3 sin(3–2x) + tan? (3x? — 4х) — csc(/2x — 1

A: Differentiate y w.r.t x.

Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: (a) Find the derivative of the following functions (i) y = a² sin“ x +æ cos-2 x. (ii) y = e(+v#+x²),

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Q: Find the first and second derivatives of the function  G(t) = 2 cos t - 3 sin t

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Q: 3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

A: We have to find

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Some of the properties of derivative ddx(uv)=udvdx+vdudx ddxxn=nxn-1…

Q: 2. Find the derivative of the following functions: (5x+ 1)'(x + 3)5 cos°(x) sin°(x) (a.) f(x) = .…

A: Given f(x)=5x+77x2+35cos2x sin3x3   As per our guidelines we are supposed to answer only first…

Q: a) Find the first derivative of the followings: i) f(x) = sec²x tan/x ii) f(u) = cos²(sin(1 – u)-1)…

A: We have to find out the derivative

Q: dy of the function dæ Find the derivative x* In 3y = y sin 3x + et.

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: Find the second derivative of the function. h(t) = 10 cos t − 15 sin t

A: Given: ht=10cost-15sint for finding second derivative of given function, initially we find first…

Q: Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable…

A: Let us begin with plotting the graph for |cos x|.

Q: x² d. Find dx (e" -tant)dt. tan(x?) a. 2x(e** - tan(x?)) Ob. 2xex - sec?x O c. O d. It is impossible…

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Q: 4. Find the derivatives of the following functions: a) y² sin x – tan (x + y) + 3x = 0 b) y = x Inx

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Q: A2) Find the derivative of the following functions 2² + 4 (a). f(x) = 1² – 4 (b). f(x) = 2 tan '(x)…

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: a) Find the first derivative of the followings: i) f (x) = sec²x tan/x ii) f (u) = cos²(sin(1 –…

A: We have to find the first derivative of given function

Q: 6. Find the derivative of the following (express answer in simplest form): 1+ sinx a. f(x) = In…

A: Topic = Derivative

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t…

Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

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Q: IV. Find the derivative of the given function. 1. u = t³(sin In t – cos ln t) 2. y = e-2* (1 + e-2x)

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Q: 2. y = a Cos-1 (1 -2) + V2аx — х2 a

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Q: (b) Find the first 4 derivatives of ƒ (x) = b cos (x), and use the results to find the following…

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Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –…

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Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 5xy + 2y. Po(-7,1), A=…

A: Given query is to find indicated derivative.

Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

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Q: 18. Find an equation of the tangent line to the graph y = e * at the point (0,1). 7x dy if y = et…

A: As per guidelines incase of multiple questions asked, we are supposed to answer only the first three…

Q: Q3) Find the derivative of y for all functions the following (1) y 0 (sin (In 0) + cos (In 0)) %3D

A: Q3) (1) Differentiate with respect to Use chain rule to find the derivative of y

Q: A2) Find the derivative of the following functions: 1² + 4 (a). f(x) = 1² – 4 (b). f(x) = 2 tan (x)…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: 2. Find the derivative of the following functions: -2 (a). f(x) = x² + 4x + 4e" (b). f(x) = 2…

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Q: A2) Find the derivative of the following functions: x² + 4 (a). f(x) x2 - 4 (b). f(x) = 2 tan-'(x) –…

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Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: Q2: Consider the implicit equation: y² – y – x² = 0 Find the implicit derivative dy/dx, and…

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Q: (x²+1)* Find the derivative with respect to x: y = In /1-x

A: The given function is: y=lnx2+151-x

Q: 5cos³ (x) Find the derivative of y + tan²(3x² – 4x) – csc(v2x – 1 )and express your sin(3–2x) answer…

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Q: 1. Find the derivatives of the following functions: a. g(x) = x ÷ sin(x). 2. Find the derivative…

A: Find the derivatives of the following functions:  a. g(x) = x ÷ sin(x). 2. Find the derivative of…

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not…

A: f(x)=cosπx2

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –…

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Q: A. Give a piecewise-defined function f (x) with no extreme values. B. Find for x² – 4xy + y² = 7 by…

A: A). A piecewise function is: fx=2x≤1xx>1 Graph for this piecewise function is: B. Given function…

Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: QS:-Find the first order derivative of each of the following functions: a) y = etan"x + In (sin-x)…

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