Find tangent line and average of x values?

Suppose that

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

Find an equation for the tangent line to the graph of f at x=2

Tangent line: y= ?

Find the average of all values of x where the tangent line is horizontal. If there are no such values, enter -1000

Average value of x values= ?

Top 1 Answers

A few days ago

cidyah

Favorite Answer

f'(x)=4(5x-4)^3(5)

=20(5x-4)^3

at x=2, =20(6^3)=20(216)=4320

y=4320x+b

if x=0, y=b

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