## anonymous 3 years ago What is the first value of of t greater than zero for which the derivative is greater than zero?

1. anonymous

$\huge f'(x)\frac{ sintcost }{ 25 \pi }$

2. anonymous

f'(x)= **

3. anonymous

Uh... there's no "first" value.

4. anonymous

that's what my question states :S

5. anonymous

Are they asking to solve for t, equation the derivative to zero?

6. anonymous

At t=0, the derivative will be 0. For 0<t<$$\frac{\Large\pi}{2}$$ the derivative will be positive because sin and cos will both be positive.

7. primeralph

$T = 0 + \left| \delta t \right|$