Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)=...

Two questions:

2) Use the limit definition of the derivative to find the derivative of f(x)= x^3 - 9x

3) Using limits, find an equation of the line tangent to the function of g(x)= 4/x^2 at x= -2

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Expert Solution

milcah answered 3 years ago

. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f...

. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f '(x) = 6x + 5 Then, Find the tangent line of f(x) at x = 3 Finally, Find the average rate of change between x = −1 and x = 2

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions.f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions.f(x) = −x2 + 4x + 7

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 5π

For the following exercises, use the definition of derivative to calculate the derivative of each function.f(x) = 5π

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative and linear approximation, estimate f(9.1).

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 3x3 − x2 + 2x + 5

For the following exercises, use the definition of derivative to calculate the derivative of each function.f(x) = 3x3 − x2 + 2x + 5

Question

Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)=...

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. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f...

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition for the derivative at a pointto find the derivative of the functions. f(x) = −x2 + 4x + 7

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 5π

Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 3x3 − x2 + 2x + 5

prove using the definition of derivative that if f(x) and g(x) is differentiable than (f'(x)g(x) -...

What is the derivative of f(x)=2

f(x) = sec x - 1 / x^2 to find the limit using rationilization

For the function f(x) = x(x+1) find the exact formula for f′(x). Use only the definition...