Find the derivative of $r(x)=\left(-x^2-5\right)\left(4x+4\right)$.

Find the derivative of $v(x)=\left(x+1\right)e^x$.

Let $p(x)=f(x)g(x)$, with $f(-3)=3$, $g(-3)=4$, $f^{\prime }\left(-3\right)=8$ and $g^{\prime }\left(-3\right)=7$. Find $p^{\prime }\left(-3\right)$.

Let $p(x)=f(x)g(x)$, with $f(1)=2$, $g(1)=8$, $f^{\prime }\left(1\right)=-3$ and $g^{\prime }\left(1\right)=5$. Find $p^{\prime }\left(1\right)$.

Let $p(x)=f(x)g(x)$, with $f(-4)=-2$, $g(-4)=-1$, $f^{\prime }\left(-4\right)=-7$ and $g^{\prime }\left(-4\right)=1$. Find $p^{\prime }\left(-4\right)$.

Find the derivative of $g(x)=\left(6x-4\right)e^x$.

Which expression correctly sets up the product rule for $q(x)=\left(5x^5\right)\left(x-4\right)$, before any simplification?

Find the derivative of $q(x)=\left(2x^2-1\right)\left(5x+8\right)$.

For $s(x)=\left(5x^2-8\right)\left(-x\right)$, find $s^{\prime }\left(-2\right)$.

For $u(x)=\left(-5x^2+9\right)\left(3x\right)$, find $u^{\prime }\left(-1\right)$.

For $g(x)=\left(-x^2-5\right)\left(-3x\right)$, find $g^{\prime }\left(3\right)$.

Which expression correctly sets up the product rule for $u(x)=\left(-x^3\right)\left(-2x+1\right)$, before any simplification?

Find the derivative of $q(x)=\left(2x^2-3\right)\left(x+1\right)$.

Find the derivative of $g(x)=\left(2x^2+2\right)\left(-4x-9\right)$.

Find the derivative of $f(x)=\left(2x^2-6\right)\left(x-6\right)$.

Find the derivative of $s(x)=\left(-6x-7\right)\cos x$.

Find the derivative of $s(x)=\left(4x+6\right)\ln x$.

For $w(x)=\left(-5x^2-5\right)\left(-x\right)$, find $w^{\prime }\left(-2\right)$.

Find the derivative of $w(x)=\left(x^2-9\right)\left(-3x-2\right)$.

Which expression correctly sets up the product rule for $p(x)=\left(6x^5\right)\left(-3x-2\right)$, before any simplification?

Find the derivative of $v(x)=\left(-5x-4\right)\ln x$.

Find the derivative of $s(x)=\left(-3x+3\right)\ln x$.

Let $p(x)=f(x)g(x)$, with $f(1)=4$, $g(1)=-3$, $f^{\prime }\left(1\right)=3$ and $g^{\prime }\left(1\right)=6$. Find $p^{\prime }\left(1\right)$.

Which expression correctly sets up the product rule for $u(x)=\left(-5x^2\right)\left(x+1\right)$, before any simplification?

For $q(x)=\left(-5x^2-2\right)\left(5x\right)$, find $q^{\prime }\left(-2\right)$.

Find the derivative of $f(x)=\left(-4x^2+3\right)\left(-x-3\right)$.

Let $p(x)=f(x)g(x)$, with $f(3)=-2$, $g(3)=1$, $f^{\prime }\left(3\right)=-6$ and $g^{\prime }\left(3\right)=-5$. Find $p^{\prime }\left(3\right)$.

Let $p(x)=f(x)g(x)$, with $f(-3)=-7$, $g(-3)=-3$, $f^{\prime }\left(-3\right)=8$ and $g^{\prime }\left(-3\right)=8$. Find $p^{\prime }\left(-3\right)$.

Find the derivative of $q(x)=\left(-2x^2+2\right)\left(-3x+8\right)$.

For $f(x)=\left(5x^2-1\right)\left(-4x\right)$, find $f^{\prime }\left(2\right)$.

Find the derivative of $f(x)=\left(-5x^2+9\right)\left(-4x-1\right)$.

Which expression correctly sets up the product rule for $g(x)=\left(-2x^5\right)\left(-2x+7\right)$, before any simplification?

Which expression correctly sets up the product rule for $w(x)=\left(4x^3\right)\left(x-9\right)$, before any simplification?

Which expression correctly sets up the product rule for $f(x)=\left(-4x^4\right)\left(3x+5\right)$, before any simplification?

Find the derivative of $q(x)=\left(-5x+9\right)\sin x$.

Find the derivative of $p(x)=\left(2x^2+5\right)\left(2x+9\right)$.

Find the derivative of $r(x)=\left(-x-4\right)\ln x$.

Which expression correctly sets up the product rule for $f(x)=\left(-3x^4\right)\left(6x-5\right)$, before any simplification?

Find the derivative of $u(x)=\left(3x+9\right)\sin x$.

Which expression correctly sets up the product rule for $p(x)=\left(5x^5\right)\left(-6x-5\right)$, before any simplification?