# write the equation of the tangent line to the curve y=x^3+7x-4 at (1,4)

## Question:

Write the equation of the tangent line to the curve {eq}y=x^{3}+7x-4 {/eq} at {eq}(1,4) . {/eq}

## Tangent Line:

Given a function f(x), the equaton of the tangent line to the curve at a point x0

can be calculated by means of the following expression

{eq}T(x) =f(x_0) + f'(x_0) (x-x_0) {/eq}

where

{eq}f'(x) {/eq} is the derivative of the function.

## Answer and Explanation:

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Chapter 10 / Lesson 1Over the river and through the woods to Grandmother's house we go ... Are we there yet? In this lesson, apply linearization to estimate when we will finally get to Grandma's house!