Find the derivative of the function. g'(x) = g(x) = '7x - [²3² = 1 0 [po: du √3x *7x 0 7x : [[ ^* f(u) du = [_^ f(u) du + [ ^* f(u) du]

Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

A:

Q: For some function h(x), h'(x)=x^3(x+4)^2 and h''(x)=x^2(x+4)(5x+12). Make sign charts for the first…

A: Use real number line

Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: 8.) FIND ALL DERIVATIVES OF y^(n) OF THE FUNCTION y = square root of (x+5).

A:

Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: find the derivative of  a. f(x)=x/x^2+(square root of 3x)^5 b. f(x)= (x-1)^3/x(x+3)^4

A:

Q: (x) =√1/x^3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = O None of these. f'(x) =…

A:

Q: For the function F(x)=x^2/3+x Find F''(x)

A:

Q: Find the third derivative of g(t) = t^2(2t+5)^4

A: Given that: The equation g ( t ) = t2 2t + 54 .

Q: Use the Product Rule or Quotient Rule to find the derivative. f(z) = (3x-²+5) (-4x−³+4). ○ f'(z) =…

A:

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

A:

Q: f (x) = (4x^5+ 3x −1)^6 Find the derivative

A:

Q: Find the derivative of: y = 4x^2 – 1/x   y’ = 2x – x^(-2) y’ = x^(-1) + 8x y’ = 8x - x^(-2) y’ =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the derivative of f(x) =-2x + 10x8 f'(x) =

A: Topic = Derivative

Q: Determine the anti-derivative of the following functions: a) S(x)=(3x+2)(2x* - 3x +4)

A: Given, f(x) = (3x +2)(2x2 -3x +4) So  f(x) =  6x3 -9x2 + 12x + 4x2 -6x +8     f(x) =  6x3 -5x2 + 6x…