Question

In: Math

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

Show All Work please! thank you :)

Solutions

Expert Solution


Related Solutions

. 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
prove using the definition of derivative that if f(x) and g(x) is differentiable than (f'(x)g(x) -...
prove using the definition of derivative that if f(x) and g(x) is differentiable than (f'(x)g(x) - f(x)g'(x))/g^2(x)
For the function f(x) = x(x+1) find the exact formula for f′(x). Use only the definition...
For the function f(x) = x(x+1) find the exact formula for f′(x). Use only the definition of the derivative.
f(x) = sec x - 1 / x^2 to find the limit using rationilization
f(x) = sec x - 1 / x^2 to find the limit using rationilization
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT