describe the purpose of finding the first and second derivatives to sketch a graph of functions

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milcah answered 2 years ago

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

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...

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.

Practice differentiating the following funtions in general and specific terms. Find first derivatives and second derivatives....

Practice differentiating the following funtions in general and specific terms. Find first derivatives and second derivatives. Compare your solutions using the general functions with that of the specific functions. Provide an economic interpretation for each derivative along with its sign. 1. Utility functions: a. U = f(x1 , x2 , x3) b. U = x1 x2 x3 c. U = (x1 x2 x3)2 2. Production functions: a. Q = f(K, L) b. Q = K.5 L.5 c. Q = aK.1 L.9 3....

Use the first and second derivatives of f(x)=3x4+4x3-96x2-192x+284 to give as much information about the graph...

Use the first and second derivatives of f(x)=3x4+4x3-96x2-192x+284 to give as much information about the graph of the function as possible. Use this information to sketch the graph.

Suppose you had an inverted “U-shaped” function. Describe what the first and second derivatives would tell...

Suppose you had an inverted “U-shaped” function. Describe what the first and second derivatives would tell you.

Sketch a graph of the polynomials below as demonstrated in the Polynomial Functions video. Note: Do...

Sketch a graph of the polynomials below as demonstrated in the Polynomial Functions video. Note: Do not just graph on a calculator and copy the graph! No credit will be given without supporing work or explanation. You should be prepared to do problems like this without a calculator on exams! h(x)=x3(x-2)(x+3)2 List of real zeros and their multiplicities: End behavior: as x-∞, y------ as x- -∞, y-------

sketch the curve with the given polar equation by first sketching the graph of r as...

sketch the curve with the given polar equation by first sketching the graph of r as a function of theta in Cartesian coordinates. 1) r = 3cos(3theta) 2) r = 1 + 3cos(theta) 3) r = sin (theta / 2) Please solve this problem with a detailed explanation, not just a answer.

Sketch the curve with the given polar equation by first sketching the graph of r as...

Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates. r = 3 cos(2θ)

Find the 83rd derivative of sin(x) at x=4 by finding the first few derivatives and observing...

Find the 83rd derivative of sin(x) at x=4 by finding the first few derivatives and observing the pattern that occurs.

Question

describe the purpose of finding the first and second derivatives to sketch a graph of functions

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Expert Solution

Related Solutions

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

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...

Practice differentiating the following funtions in general and specific terms. Find first derivatives and second derivatives....

Use the first and second derivatives of f(x)=3x4+4x3-96x2-192x+284 to give as much information about the graph...

Suppose you had an inverted “U-shaped” function. Describe what the first and second derivatives would tell...

Sketch a graph of the polynomials below as demonstrated in the Polynomial Functions video. Note: Do...

sketch the curve with the given polar equation by first sketching the graph of r as...

Sketch the curve with the given polar equation by first sketching the graph of r as...

Find the 83rd derivative of sin(x) at x=4 by finding the first few derivatives and observing...