# Slope of a tangent line and derivative

Find the slope and the equation of the tangent line to the graph of the function at the given value of x.

f(x) = x^4 - 5x^2 + 4

x = -2

The slope of the tangent line = ?

The equation of the tangent line is y= ?

© BrainMass Inc. brainmass.com October 10, 2019, 1:00 am ad1c9bdddfhttps://brainmass.com/math/derivatives/slope-of-a-tangent-line-and-derivative-316839

#### Solution Preview

first find the derivative of the function

f'(x) = 4x^3 - 5*2x + 0 = 4x^3 - 10x

the slope of the tangent line is equal to the ...

#### Solution Summary

The slope shows how to calculate the equation of the tangent line in detail.

$2.19