2) Find all relative extrema of ƒ(x)= x* – 4x³

Q: Find the relative extrema of f(x) = (x4 + 1)/x2 .

A: Given: f(x) = (x4 + 1)/x2  To Find: Relative extrema of f(x).   Concept: First-Derivative Test:

Q: Find all relative extrema of f (æ) = 3x²/3 – 2æ %3D

A: Topic: differentiation

Q: If   f⁰g=x  and.  f(x)=1/x  then find g(x)

A:

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

A:

Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: Compute P(X) using the binomial probability formula. Then determine whether the normal distribution…

A: Given: n = 42 p = 0.6 q = 1-p = 1-0.6 = 0.4 q = 0.4 Formula Used: Probability mass function of…

Q: Find the relative extrema of f(x) = (x2 − 4)2/3

A: Given function is fx=x2-423 Differentiating the given function with respect to x,…

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

A:

Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: Find the relative extrema of f(x)=32x² - 4x³.

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: find the absoute extrema for the function 5 (x )=9rX - 3x"on the given in tervalOL x < H

A:

Q: Differentiate the function. h(x) 4 xS - 4x3 + 1)8 5, x5 – 4x³ + h'(x) = %3!

A: We will use chain rule to solve this problem;