Let f(x) = x^4 − 4x^3 − 20  (a) Find the first derivative f'(x) and the second derivative f"(x)  (b) Use f'(x) to find all critical points of f (c) Find the global maximum and global minimum of f on the interval where x is between −2 and 4. Give both the maximum value of f(x) and the x-value(s) where it is attained.

Q: Consider the function f(x)=x^3-3x^2-9x+7 Find the values of x such that f'(x)=0

A:

Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and…

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

A:

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: Give two function f(x) and f(x) such that the f''x is equal to -2.

A:

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

A:

Q: 1’) Let f be the function f(x) = x^2 +36/x^2 (a) Calculate f'(x) and find all stationary points for…

A: Solution - Given function - f(x)=x2+36x2 a.)        f'(x)=2x+36-2x-2+1             f'(x)=2x-72x…

Q: f(x,y)=x^4+y^4-4xy Find all the endpoints of the function.

A:

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: determine all values of x at which the function is discontinuous: 1. f(x)=2x/(x^2-1) 2. f(x)=…

A: Given function is  fx=2xx2-1 The function fx is undefined when x2-1=0 which gives x=±1. So, the…

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

A:

Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

A:

Q: Find a function f so that f '(x) = 3x + 2x + 5 and f(1) = 10.

A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…

Q: ad all possible f(x) such that f" (r) 3r7 25+ ²+1

A: Given query is to find the function.

Q: Let f(x) = (3x + 7)(3x² + 2)8. Compute f'(x).

A:

Q: Compute

A:

Q: Help find a function f so that f ‘(x) = 3x2+ 2x+5 and f (1) = 10

A:

Q: Let f(x) :2x + 14 f-'(x) = Prev

A: To find f-1(x) Step 1-  put f(x) equals to y Step 2 - Replace y with x and x with y Step 3-…