Suppose f'(x) = sin(2x²). d ; f(7æ) =| dr d de f(32®) = [

Q: Let f(x) = 2ln(sin(x)) ƒ''(x) =

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Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: Find the derivative. [5x(x6+1)4]=? Answer is 5(x6+1)3(25x6+1). How did they get this answer?

A: Given

Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: Find d can'(x²cosbx) clx

A: To find:- Derivative of tan-1(x2 cos(x))

Q: Consider the function f(x) whose second derivative is ƒ''(x) = 9x + 6 sin(x). If ƒ(0) = 4 and f'(0)…

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Q: If f(x) = 3x? – 2e", find: f'(x) = = (x),.

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Q: If f(x) = 6 + Find f'(3). X 3 x² " find ƒ'(x).

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Q: d dx f(x)=sina, f(0) = 7.

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Q: f(x)=rad(3-sinx/4-cosx)

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Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: DERIVATIVE

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

Q: Find the derivative of the function In (2x+10) f (x) = x* sin (7x + 14) +

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Q: Suppose f'(x) = sin(4x²). d f(5x)=[ dx d ƒ(2x5) dx

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Q: LIf f(x) = 2 sin(x) + 2x* , find f' (3). f'(3) =

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Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: x sin x f(x) = = -9e | f'(x) =

A: Use product and chain rule of derivative

Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function