Find and interpret f'(4) and f''(4). f(æ) = 2 a f'(4) = [1/(sqrt(4)) Preview f''(4) = [1/sqrt(2^3) Preview So at x = 4, f(x) is [ increasing v at a(n)| decreasing V rate.

Q: find the derivative of f(t) t^3+3/t

A: It is derivative problem.

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

A:

Q: Use the Second Fundamental Theorem of Calculus to find F'(x). •[₂√e +7 de dt F'(x) = F(x) =

A:

Q: +

A:

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 f'(-1) for f(x) = 2x, Express in exact form?

A:

Q: find f'la) f(x)%3D(X

A: The given function is: f(x)=x-1x2

Q: fx) = (4x² + 3x"²) e*. %3D Do you think that the domain of f'(x) is the same as the domain of f(x)?…

A:

Q: Let f(x)=1/x^2+1 Find f'(1) Write the anserw in decimal form

A:

Q: F=11+/2x+3, find F'(3) find F'(8)

A:

Q: let F(s)=(s)÷((s-1)^2) , then f(t)=te^t+e^t ?

A:

Q: Find and interpret f'( – 2) and f''(– 2). 3 f(x) =

A:

Q: please answer this question

A: Given,

Q: Let f(x)=sqrt[x]+1/sqrtx what is f'(4)

A:

Q: f(x)= (x^3 +x)^4  a. find f'(x)    b. Find f''(x)

A: Given function

Q: find f'(x) given that f(x) is: a:5x^3  b:x^6-5x  c:7x^2-(3/x)

A: We can find the derivative that is f'(x) in the below steps.

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 4x + 3x + 3 f'(x) %3D f"(x) %3D

A: fx=4x2+3x+3 Now,…

Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = -3, find h'(2) for h(x) = f(x) - g(x) a…

A: Take the derivative both sides and substitute the given valued.

Q: Let f (z) = (5z +3) (i – xỳhat is the real part of the derivative f' (1+ i}

A:

Q: f(1) = 2, f'(1) = 3, f'(2) = 4. Find (f^-1)'(2).

A: