Which one of the following is an antiderivative of the function f(x)=sec² (2x+1)

Q: 1 Find the derivative of f(x) = V7+4x2 - 5.x2 +9

A: we apply chain rule in the first part and division rule in the second part

Q: Consider f(t)=. Find f'(1).

A: Given ft=<6t2,5t3,8t4> Differentiating the given function with respect to t, we get…

Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: Let f(x)=2x^2−4x+14.Findwhere f(x)>0.

A:

Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

A:

Q: Let f(x)=11/x^2 + 1 . Enter anti derivative

A:

Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: please differentiate the function

A:

Q: what does f'(m)= ?

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

Q: f"(z) = 2r +2 and f'(-2) = -l and f(-2) = 4. Find f'(x) = x^2+2x-1 and find f(4) = = 266/3

A:

Q: Let f(u)=u^3 and g(x)=u=6x^4+2. Find (f o g)'(1).

A: