Find equation of tangent line?

It is given to you that an equation of the tangent line to the graph of y=g(x) at x=25 is 2x+10y=-30

it follows that y= ? is the equation of the tangent line to

y= g(x^2) at x=5 and

that y= ? is the equation of the tangent line to y= (g(x))^2 at x= 25

PLEASE FIND THE QUESTION MARKS! THANKS!

Top 1 Answers

A few days ago

Anonymous

Favorite Answer

Chain Rule again, darlin’, just like the last one I answered. If

y = g(x^2), then

dy/dx = 2x g'(x^2)

The equation you’re given for the tangent line at x = 25 is

y = -(1/5)x – 3

The slope of the curve at x = 25, then, is -1/5. That means that

g'(25) = -1/5

This should give you enough to answer the question. Just remember what the derivative means physically with respect to a graph.

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