By computing the first few derivatives and looking for a pattern, find the following derivatives.


b. d¹¹⁰/dx¹¹⁰ (sin x − 3 cos x)

Find the derivatives of all orders of the functions in Exercises 29–32.

y = x⁵ / 120

Find the first and second derivatives of the functions in Exercises 33–38.

s = (t² + 5t − 1) / t²

Find the first and second derivatives of the functions in Exercises 33–38.

w = ((1 + 3z) / 3z) (3 − z)

By computing the first few derivatives and looking for a pattern, find the following derivatives.

a. d⁹⁹⁹/dx⁹⁹⁹ (cos x)

By computing the first few derivatives and looking for a pattern, find the following derivatives.

c. d⁷³/dx⁷³ (x sin x)

Let $f\left(z\right)=\sin \left(z\right)$. What is the ${43}^{rd}$ derivative of $f\left(z\right)$?

Find the third derivative of the given function.

$f\left(x\right)=24+4x^5$

Find the third derivative of the given function.

$y=3x^2+9x+1$