Question

How do you find the derivative of `z= ((e^(t^2))+t) / (sin(2t))`?

Answer 1

Use the quotient rule, chain rule, and linearity:

`dz/dt=\frac{sin(2t)\cdot(e^{t^{2}}\cdot 2t+1)-(e^{t^{2}}+t)\cdot 2cos(2t)}{sin^{2}(2t)}`