3. Techniques of Differentiation

Find the third derivative of the given function.

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

Find the third derivative of the given function.

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

Find the third derivative of the given function.

$f(t)=5t^{-4}$

Find f′(x), f′′(x), and f′′′(x) for the following functions.

f(x) = 3x³ + 5x² + 6x

Find f′(x), f′′(x), and f′′′(x) for the following functions.

f(x) = 3x² + 5e^x

Find f′(x), f′′(x), and f′′′(x) for the following functions.

f(x) = (x² - 7x - 8) / (x + 1)

If f(t)=t¹⁰, find f′(t), f′′(t), and f′′′(t).

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