Sckricks

Suppose that (g(x))^2 + 13x = x^2g(x) + 21, and that g(3) = 6. Find g'(3)

Use implicit differentiation to find an equation of the tangent line to the curve at the given point x^2 + xy + y^2 = 3, (1,1)

Let A be the area of the circle with the radius r. if dr/dt = 5, find dA/dt when r = 1

Evaluate the following limit. lim e^(tanx) as x approaches the righter limit of (pi/2)

If f'(x) = 2xln(-4(x^2-2.75))+(2x^3)/(x^2-2.75) find the domain.

Simplify sin(tan^(-1)x)

Suppose f(x)= 7-8x^2, by the Mean Value Theorem, we know there exists a c in the open interval (-2,5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Suppose that f(x)=ln(3+x^2). Use interval notation to state when f(x) is concave up and concave down. Then find all inflection points for f(x).

A piece of wire 40 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much of the wire should go to the square to minimize the total area enclosed by both figures?

Ok, but i'm still a little confused on how I get dh/dt by itself