# Use the instantaneous rate of change of #f(x) = e^(5x)# to find the equation of the tangent line to f(x) at x = 0?

##### 1 Answer

Write your answer here...

Start with a one sentence answer

Then teach the underlying concepts

Don't copy without citing sources

preview

?

#### Answer

Write a one sentence answer...

#### Answer:

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

MoominDave
Share

Jun 18, 2018

#### Answer:

#### Explanation:

The rate of change function of

This is also the gradient of the line tangent to the curve,

To determine

Thus the equation of the tangent line at

Sanity check the answer by plotting the two curves on the same graph and observing that they touch in the right place:

graph{(y-(e^(5x)))(y-(5x+1))=0 [-1, 1, -0.206, 2.291]}

Was this helpful? Let the contributor know!

Describe your changes (optional) 200