Find y’ in the following equation y=4x^2-3x-1.

Evaluate the limit (x-4)/(x^2-x-12) as x approaches 4

Find y’ if y=ln x

What is the limit of cos (1/y) as y approaches infinity?

Differentiate the equation y=(x^2)/(x+1).

Find dy/dx by implicit differentiation at point (0,0) if (x^3)(y^3)-y=x.

Find the derivative of y=2^(4x).

A cylindrical boiler is to have a volume of 1340 cu ft. The cost of the metal sheets to make the boiler should be minimum. What should be its diameter in feet?

What is the first derivative dy/dx of the expression (xy)^x=e.

Find the second derivative of y=(2x+1)^2+x^3.