# Thread: FTC to find derivative

1. ## FTC to find derivative

Use part 1 of the fundamental therom of calculus to find the derivative of the function.

The integral if from 0 to tan[x]
y= integral of sqrt[t+sqrt{t}]dt

2. $\frac{d}{dx} \left[ \int_a^u f(t) \, dt \right] = f(u) \cdot \frac{du}{dx}$

where u is a function of x and a is a constant.