If f(x) = e%g(x), where g(0) = 5 and g'(0) = 2, find f '(0). %3D

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Q: Find g'(x) for the given function. g(x) = V3x g'(x) = %3D

A: We need to find the derivative of gx=3x

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A: The given function is fx=ex-12.

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A: Given that         f(x) = esin x  Here we have to find f'(x).

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: Find f(x) if f'(x) =2/+.

A: The derivative of f(x) is given, so to find f(x) we need to integrate f'(x)=2x+5x6. The integration…

Q: Let f(x) = x + 12 f-'(x) = %3D 1.

A: Let's say y = f(x) A function g is said to be inverse of a function f, if g(y) = f(x) Procedure to…

Q: -g(x) = x²sinx cosx . Find g'(x).

A: We will use the product rule of differentiation to find the derivative.

Q: Find g'(x) if g(x) %3D Зx е бх

A: Product rule of the derivative is, (uv)’=u’v+uv’ where u and v are the functions of x.

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Q: Find f'(a). f(x) = 3x2 - 4x + 4

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Q: d²y + 49 + 4y = 0, y(0) = 3, dy (0) = 1 %3D %3D %3D dx2 dx dx

A: Given differential equation is second order, homogeneous linear differential equation with constant…

Q: If f'(1) = 3e2 and f(0) = 2 then find f(1). %3D %3D

A: Given:     To determine: f(1)

Q: Let f(x) = 9 + V2x - 9. Find f(r).

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Q: If f(x) = 4 find f'(4).

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Q: If f(x) = V2x + 6, find f'(x). %3D

A: Given, fx = 2x+6  We have to find f'x

Q: Let f(x) = x-". Find f'(x). -11

A: Given,            fx=x-11

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: Find f if f" (x) = 24x² + 2x + 10, f(1) = -7, f'(1) = -2. %3D f(x) =[ %3D

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Q: Find f' (x) for f (x) = 8x-3e. %3D

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