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.

Who can help me please?

what is the best site that translate english langauge to any language?

Word Problem help in Algebra I?

How can the gain on sale of investments be a deduction?

wat are neurohormones?

What are the five largest islands/seas?

Chaucer’s “The Canterbury Tales”?