If f (x) = e2*[sin(x)]², what is f' (x)?

Q: If f(x) = /x, find f'(13). f'(13) = (Type an exact answer.)

A: f(x) = √x  So, f'(x) = 1/(2√x)

Q: find f'(x) and f"(x). : If f(x) x² +3 f'(x) = f"(x) =

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Q: If f(x) = 6x'n (=), find f'(2).

A: We first take ln on both sides and expand the right side

Q: If f(x) = sin(x*), find f'(x). Find f'(3).

A: differentiating function with respect to x and  angle of cos will be in radian

Q: f(x) = x²(x

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Q: If f(x) = In(x) f '(1) = 0 find f'(1).

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Q: Find f'(x) if f(x)= e®* cos 4x .

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Q: If f(x) = 2 sin(x) + In(4x), find f '(x). f'(x) =

A: Given f(x)=2 sin(x)+ln(x) We know that d/dx(sin(x))=Cos(x) d/dx(ln(x))=1/x d/dx(xn)=nxn-1

Q: If f(x) = 3 sin '(x°), then (2"). f'(x) -

A: Given: fx=3sin-1x5   We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 The…

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: Si f(x) = (x2) / (1+x). Calcule f''(1).

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Q: Suppose F(x) = x² · g(x). Find the value of F'(-2) if the following values are known: g(-2) = 3,…

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Q: If f(x) = 4x(sin a + cos x), find f'(x) = f'(5) =

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Q: If ƒ(x) = sin(e²x), find ƒ'(x). ƒ'(x) = ←

A: Given function                             f(x) = sine2x   We have to find f'(x)

Q: if f(x)=cosx-3tanx, then f′(x)= f'(5)=

A: The given function is f(x)=cosx-3tanx

Q: 1 If f(x) = 2x sin−¹(x), find f'(x) = ƒ'(0.3) =

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Q: Let f (x) = sin(x) − x. Then f ' (0) = and f '' (0) =

A: Given information: