Find the derivative of the following. 2. g(x) = sin x tan x 1+sin x 3. h(x) = 1-sin x x+4 4. i(x) = cos x 5. j(x) = [(x2 + cos x)(2x - sin x)]

Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: Find the derivative of each function. A. f(x) = x2 - sinx + B. g(x) = (x² + 1) cosx %3D

A: Given that 1. A. fx=x2-sinx+1x3B. gx=x2+1cosxTo find : DErivative of functionSolution A.…

Q: Let x be non zero. Find the derivative of the function x cos( 3 + 4 π). The required derivative is…

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Q: 2. Find the derivative of the following functions: (a). f(x) = x* + 2x¯² + 4e* %3D (b). f(x) = 2 tan…

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

Q: 5. Consider the function f(x). f(x) = (2x² + 3x + 1 |x| sin(x - 1) + 1 if x < -1 if -1 < x < 1 if 1…

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Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

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Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: 1. f(x)= xsin x 2. f(x) = x?cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) =

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Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: Find the derivative of f(x) and solve for x sinx a. f(x) X = 6. b. f(x) e* sinx X = 0 COSX c. f(x) X…

A: Given: (1) f(x) = sin x / x  at x = π/6  (2).  f(x) = ex sinx at  x= 0 (3).  f(x) =  cos x / ex   at…

Q: calculate the average over the given interval. f (x) = xn for n ≥ 0, [0, 1]

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Q: Find the derivative of the function. y = [x + (x + sin²(x))6]4 2 63 y' = 4 x + x + sin x • 1+4 x +…

A: Please see the attached image for the solution.Note that a series of Chain Rule for Differentiation…

Q: 8. Evaluate the derivative of the function f(x) = sin (5x + 6) at the point x = 2. Show all steps…

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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: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

A: Given function is y=tanx. We have to find the first derivative of y=tanx at x=π4 using a value of…