r(E) = 0, s° (;) Suppose f and f' are differentiable functions of r. Given = -1, and %3D g(x) – log sin(2x) + v2f(x)+ cos- find g" (5) - 4

Q: cos x y = %3D sin x + 1

A: Given,            y = cos xsin x + 1

Q: A. Let f(x)= 2x² +x. Use the definition of the derivative to find f'(x). B. Find the derivative of…

A: The definition of the derivative is f'x=limh→0fa+h-fah Differentiation formulas,…

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: f(t) = u(t)+ (sint- 1) u(t- -))-(sint + 1). 미t +u(t – 27) %3D

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Q: 1-6 Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A: The objective is to solve .

Q: 4. At what point on the graph of y = x² is the tangent line parallel to the line 2 e line 2x - 4y =…

A: Note: as per guidelines we support only first question in first request.

Q: Identify the function f (x). I (x) = (f (x))° = cos 2x

A: Given,          lx=fx6=cos62x

Q: 3. y sinx + 2x²³ COSX 5. f(x) = 5sinx + cosx

A: (3)  y=sinx+2x-3cosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(ab)=bdadx-adbdxb2

Q: . Does the function cos x x + 0 f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A: Consider the given function fx=1-cosxx        x is not equal to 0x=0

Q: 1. Find the derivative of the given function: (a) f(x) = log(1+x²) (b) g(x) = e+sin x arctan(cosx);…

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Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

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Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

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Q: 1.y = 3x cos=-9sin 2y=2csc(1-3x) tan 2x 3.y=1-cot 2x

A: According to our guidelines we can solve first 3 questions please upload remaining…

Q: 27: let f(x) = tan(x)+ sec(x) find f"(x)

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

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

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

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

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Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as…

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

Q: Use Quotient Rule to find the derivative. x² + x - 2 3x +1: dy 2x+1 A. dx 3x + 1 dy B.…

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