12. Trigonometric Functions

Find the derivative of the function.

$h(t)=\(\sin\[\left\)(t\(\right\))\(\cos\]\left\)(t\(\right\))$

Find the derivative of the function.

$f\(\left\)(x\(\right\))=\(\frac{5\cos x}{2x^3}\)$

Find the derivative of the function.

$y=\(\frac{\sin\theta}{2+\cos\theta}\)$

Find the derivative of the function.

$r=\(\csc\) x-3\(\sin\) x+\(\tan\) x$

Find the derivative of the function.

$f\(\left\)(x\(\right\))=4x^2\(\sec\) x-\(\sqrt{x}\)$

Find the derivative of the function.

$y=\(\frac{\cot\theta}{3+\sec\theta}\)$

Find the derivative of the function.

$f(x)=\(\sin\)(3x^2)$

Find the derivative of the function.

$y=3\(\cos\)^4\(\theta\)$

Find the derivative of the function.

$f\(\left\)(t\(\right\))=\(\sec\]\left\)(4t+5\(\right\))$