trigonometry derivative

[manic nest]

Hello everyone! I'm a senior and I'm trying to find out how to solve this trigonometry derivative (differentiate) and for the no. 9 is find the derivative.

[still igloo]

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[cobalt cedar]

For the 9th the only thing you need to do is apply the chain rule.

[hollow shore]

And the product rule

And the power rule, if you need it

[bright shell]

h(x) can be simplify

2x⁴/3x² = 2x²/3

And in 9th question, square both sides , it will make calculations easy

[hollow shore]

I just noticed that as well

so product rule it and trig d/dx it

[manic nest]

I tried to solve it but now I'm stuck here part

[manic nest]

How to get rid of the square root??

[hollow shore]

let u = whatever's inside of the square root

d/du sqrt(u) = d/du u^(1/2).

Apply the power rule, 1/2 * u^(-1/2) = 1/2 * 1/sqrt(u) = 1/(2sqrt(u))