Find the equation of the line normal to $s(x)=4x^2+3x$ at the point $\left(-2,10\right)$.

Find the equation of the line tangent to $u(x)=3x^2+x$ at $x=-4$.

Find the equation of the line normal to $g(x)=2x^2+x$ at the point $\left(-5,45\right)$.

Find the equation of the line tangent to $f(x)=\sqrt{x}$ at $x=4$.

The figure shows the graph of $p$ and a straight line tangent to it at one marked point. The line also passes through a second marked point. What is an equation of the tangent line?

The graph of $f(x)=6x^3-450x$ has a horizontal tangent line at a point with $x>0$. What is the equation of that tangent line?

The graph of $f(x)=8x^3-96x$ has a horizontal tangent line at a point with $x>0$. What is the equation of that tangent line?

Find the equation of the line tangent to $g(x)=-4x^2-4x$ at $x=-2$.

Find the equation of the line tangent to $f(x)=\frac{1}{x}$ at $x=1$.

Find the equation of the line tangent to $f(x)=e^x$ at $x=0$.

Find the equation of the line normal to $p(x)=-3x^2-7x$ at the point $\left(-3,-6\right)$.

Find the equation of the line normal to $v(x)=2x^2+6x$ at the point $\left(-1,-4\right)$.

Find the equation of the line tangent to $u(x)=-x^2+x$ at $x=1$.

Find the equation of the line normal to $w(x)=-4x^2-8x$ at the point $\left(4,-96\right)$.

Find the equation of the line tangent to $s(x)=-4x^2+x$ at $x=6$.

The graph of $f(x)=7x^3-525x$ has a horizontal tangent line at a point with $x>0$. What is the equation of that tangent line?

The figure shows the graph of $f$ and a straight line tangent to it at one marked point. The line also passes through a second marked point. What is an equation of the tangent line?

Find the equation of the line tangent to $f(x)=e^x$ at $x=1$.

Find the equation of the line tangent to $v(x)=-4x^2+x$ at $x=5$.

Find the equation of the line normal to $f(x)=x^2+9x$ at the point $\left(-6,-18\right)$.

The figure shows the graph of $s$ and a straight line tangent to it at one marked point. The line also passes through a second marked point. What is an equation of the tangent line?

The figure shows the graph of $r$ and a straight line tangent to it at one marked point. The line also passes through a second marked point. What is an equation of the tangent line?

The graph of $f(x)=3x^3-144x$ has a horizontal tangent line at a point with $x>0$. What is the equation of that tangent line?

The graph of $f(x)=x^3-75x$ has a horizontal tangent line at a point with $x>0$. What is the equation of that tangent line?

Find the equation of the line tangent to $p(x)=x^2-5x$ at $x=-4$.

Find the equation of the line tangent to $g(x)=-2x^2+3x$ at $x=1$.

Find the equation of the line tangent to $u(x)=x^2-5x$ at $x=2$.

Find the equation of the line tangent to $f(x)=\ln x$ at $x=1$.

The figure shows the graph of $q$ and a straight line tangent to it at one marked point. The line also passes through a second marked point. What is an equation of the tangent line?

Find the equation of the line tangent to $f(x)=\cos x$ at $x=0$, with $x$ in radians.