Calculate the form of f'(x) and plot graphs of both f(x) and f'(x).

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: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: Differentiate the function.

A:

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Find the derivative y’

A: Use natural logarithms  for finding the derivative.

Q: Find the derivative of f(x) = x + 4". f'(x) = %3D

A:

Q: Find F '(x).

A:

Q: Find derivative.

A: Given: The function, fx=x46-9x.

Q: Find the derivative for g(x) = :-7x - 2 + 3x

A: We need to determine the derivative of the function: g(x) = -7x2/3 -2+3x7/4 As the differentiation…

Q: Find the first and second derivatives of the function. f(x) = 16x16 + 7x7 - x f'(x) = F"(x) =

A: To find the first and second derivatives of the function:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'(x)=-2x8-x2;(2,8)