3. Techniques of Differentiation

Find the indicated derivative.

$f(x)=3x-4$

$f^{\(\prime\)}(x)=$

Find the indicated derivative.

$h\left(t\right)=\frac{1}{2}{t}^3+\frac{4}{t^2}+3\sqrt{t}$

$h^{\prime }\left(t\right)=$

Which of the following statements about differentiation is true?

Given the initial-value problem: $\frac{d^{2}x}{d{t}^2}+c^{2}x=F_0\sin (ct)$, $x\left(0\right)=0$, $x^{\prime }\left(0\right)=0$, what is the general solution for $x\left(t\right)$?

Find the indicated derivative.

$d/dt(-5t)$

Find the indicated derivative.

$d/dx\(\left\)(\(\pi\]\right\))$

Find the indicated derivative.

$d/dt(-5x)$

Find the indicated derivative.

$f(x)=6x^4-4^3$

$f^{\(\prime\)}\(\left\)(x\(\right\))=$

Find the indicated derivative.

$d/dt(5-7t^{-3})$

Find the indicated derivative.

$y=\frac{5}{2}{x}^5+2x^3+6x-\frac{\surd 3}{4}$

$y^{\prime }=$