Let h(x) = f(x) %3D where f (x) = In(3x² + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct answer below: -12-4x + 2 In(3x + 2x + 2) 3+2x+2 4x2 (-12r² – 4x)(3x² + 2r + 2) + 2 In(3x + 2x + 2) 4x2 121+4x 3x-2x+2 + 2 In(3x2 - 2x + 2) 4x2 -122-4x 3x2+21+2 2 In(3x2 + 2x + 2) 4x2

Q: Given that f(x)=35x, determine f'"(x)

A: Apply the expotential function rule for an arbitrary base. [a^x]'=ln(a).a^x.(x)'

Q: ft= VTt tan t

A: Given:     ft=1+tan t9 Taking derivative on both sides    f't=ddt1+tan t19 Apply power rule:…

Q: Let f(x) = radical 6 + radical 7x find f'(x) =

A: Given f(x)=6+7x We have to find f'(x)

Q: 6. 2х — 7 H(x) .2 х? + 3,

A: We will use Chain rule and Division rule of derivative

Q: Differentiate the function. f(x) = √√In x f'(x) =

A: Given

Q: f(x) = 9(x2)

A:

Q: what's y'' of y=4secx csc x

A: Given; y=4secx csc x

Q: Find h' (x) if h(x) = sin (2e).

A:

Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: What is f'(x) if f(x) = -? 40x5 ex

A: Given data, fx=40x5ex

Q: Differentiate. G(x) = (8x² + 9) (4x + Vx) Gʻ(x) =D %3D

A: We know that, from product rule of differentiation ddxfx·gx=fx·g'x+gx·f'x                  ⋯⋯1 We…

Q: 2. Find f'(x) for f(x) = x²e.

A:

Q: what does f'(m)= ?

A: We need to provide meaning of f'(m).

Q: Find the inverse function of f(x) = V5x + 6. f- (x) =

A:

Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…