How do you find the slope of the

Essence Ingram

Essence Ingram

Answered question

2022-04-09

How do you find the slope of the tangent line y=(5x2+7)2 at x=1?

Answer & Explanation

tabuevniru8op

tabuevniru8op

Beginner2022-04-10Added 14 answers

Explanation:
The slope of the tangent to the function y at x = 1 is the derivative of the function evaluated at x = 1
differentiate using the chain rule
Reminder dydx=dydu×dudx
let u=5x2+7dudx=10x
then y=u2dydu=2u
dydx=2u10x=20xu
change u back into terms of x.
dydx=20x(5x2+7)
x=1dydx=20(5+7)=240

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