Question

How to find the derivative

Answer 1

\[9\sqrt{t+21}\]

Answer 2

If I may help?

Answer 3

Am i supposed to divide \[9\div \sqrt{t+21}\]

Answer 4

Is that the correct formula of that you want to derive?

Answer 5

I'm trying to find the derivative of \[9\sqrt{t+21}\]

Answer 6

Ok can you retype it in the form
\[\huge 9\sqrt{t+21}=9(t+21)^\frac{ 1 }{ 2 }\]
and then derive using power rule!?

Answer 7

so would it be
\[9\div2\sqrt{t+21}\]

Answer 8

\[f(t)=9(t+21)^\frac{ 1 }{ 2 }\]
\[f'(t)=9*\frac{ 1 }{ 2 }(t+21)^{\frac{ 1 }{ 2 }-1}*(1)=\frac{ 9 }{ 2 }(t+21)^\frac{ -1 }{ 2 }=\frac{ 9 }{ 2(t+21)^\frac{ 1 }{ 2 } }=\frac{ 9 }{ 2\sqrt{t+21} }\]

Answer 9

You answer is correct!

Answer 10

@Ramennoodle01