Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x) = 12(x^2 − 3).

(a) On what interval(s) is f(x) increasing and decreasing?

(b) On what interval(s) is f(x) concave up and concave down?

(c) Where does f(x) have relative maxima? Minima? Inflection points?

Expert Solution

milcah answered 2 years ago

Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the...

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Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second derivatives to graph the function. Classify...

Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second derivatives to graph the function. Classify critical points as relative minima, relative maxima, point(s) of inflection, or neither. Find any vertical or horizontal asymptotes. Must use calculus.

Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second derivatives to graph the function. Classify...

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1) Find the Taylor series (to second order terms) of the function f(x,y) = x^2 −4x + y + 9 around the point x = 3, y = −1. 2)Explain why the corresponding Taylor Series (to third order terms) will be the same as the second-order series.

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...

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1a) Find all first and second partial derivatives of f(x,y)=x^4−3x^2y^2+y^4 1b) w=xycosz, x=t, y=t^2, and z=t^3....

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Find the first-order and second-order partial derivatives of the following functions: (x,y) =x2y3

Question

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

Solutions

Expert Solution

Related Solutions

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