For $f(x)={\left(-4x+2\right)}^4$, find $f^{\prime }\left(-2\right)$.

Find the derivative of $v(x)={\sin }^5\left(x-2\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $u(x)=x^4{\left(4x-4\right)}^4$, leaving the answer unsimplified.

Find the derivative of $v(x)=x^2{\left(-3x+7\right)}^5$, leaving the answer unsimplified.

Find the derivative of $w(x)={\sin }^3\left(-3x-8\right)$, with $x$ in radians, leaving the answer unsimplified.

Which rule is applied FIRST, at the outermost layer, in differentiating $x^3{\left(2x+5\right)}^4$?

Find the derivative of $f(x)=\frac{{\left(6x+3\right)}^5}{x}$, leaving the answer unsimplified.

Find the derivative of $q(x)={\sin }^6\left(3x-6\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $r(x)={\sin }^6\left(3x-1\right)$, with $x$ in radians, leaving the answer unsimplified.

For $u(x)={\left(-3x+4\right)}^3$, find $u^{\prime }\left(-1\right)$.

Find the derivative of $r(x)=\frac{{\left(2x-9\right)}^5}{x^4}$, leaving the answer unsimplified.

Which rule is applied FIRST, at the outermost layer, in differentiating $e^x\cos \left(5x\right)$?

Find the derivative of $q(x)={\sin }^3\left(3x-6\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $p(x)=\frac{{\left(4x+9\right)}^4}{x^2}$, leaving the answer unsimplified.

Find the derivative of $r(x)=x{\left(-6x+7\right)}^5$, leaving the answer unsimplified.

Find the derivative of $u(x)=\frac{{\left(3x-6\right)}^5}{x^3}$, leaving the answer unsimplified.

Which rule is applied FIRST, at the outermost layer, in differentiating $\frac{{\left(3x-1\right)}^5}{x^2}$?

Find the derivative of $p(x)={\sin }^5\left(2x-7\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $r(x)={\sin }^5\left(-6x-7\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $p(x)=\frac{{\left(5x-4\right)}^5}{x}$, leaving the answer unsimplified.

For $r(x)={\left(4x-6\right)}^2$, find $r^{\prime }\left(3\right)$.

For $f(x)={\left(3x+4\right)}^4$, find $f^{\prime }\left(3\right)$.

Find the derivative of $v(x)={\sin }^2\left(3x+7\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $u(x)={\sin }^6\left(-4x-7\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $g(x)=\frac{{\left(4x-5\right)}^4}{x}$, leaving the answer unsimplified.

Find the derivative of $p(x)={\sin }^2\left(6x-8\right)$, with $x$ in radians, leaving the answer unsimplified.

Find the derivative of $v(x)=x^3{\left(5x-3\right)}^5$, leaving the answer unsimplified.

Find the derivative of $g(x)=x^4{\left(x+8\right)}^4$, leaving the answer unsimplified.

Find the derivative of $q(x)=x^2{\left(x-1\right)}^3$, leaving the answer unsimplified.

Find the derivative of $v(x)=x{\left(3x+4\right)}^3$, leaving the answer unsimplified.