Thread: Calculus AB problems

Can you help me out with these problems.

Find the slope of the line tangent to the curve y=sin^5x at the point where x=3

Show that slope of every line tangent to the curve y= 1/(1-2x)^3 is positive.

Find the tangent and normal lines to the ellipse x^2 -xy + y^2 = 7 at the point (-1, 2)

Originally Posted by tallboi562

Can you help me out with these problems.

Find the slope of the line tangent to the curve y=sin^5x at the point where x=3

Show that slope of every line tangent to the curve y= 1/(1-2x)^3 is positive.

Find the tangent and normal lines to the ellipse x^2 -xy + y^2 = 7 at the point (-1, 2)

For #1, how does one find the slope of a tangent line?
For #2, again, find the general slope of the tangent line and watch for it's trends.
For #3, implicit differentiation will need to be used here. Start off and tell me what you get.