Find the slope of the line tangent to the graph of y = tan^−1 x at x= −2.

Find the derivative of the given function.

$f(x)=\(\tan\)^{-1}(x^2)$

Find the derivative of the given function.

$f(t)=\(\csc\)^{-1}(2t+7)$

Find the derivative of the given function.

$f\(\left\)(x\(\right\))=\(\cot\)^{-1}\(\left\)(e^{\(\cos\) x}\(\right\))$

Find the slope of the line tangent to the graph of y = sin^−1 x at x=0.

How are the derivatives of sin^−1 x and cos^−1 x related?

Tangent lines Find an equation of the line tangent to the graph of f at the given point.

f(x) = sin⁻¹(x/4); (2,π/6)

Tangent lines Find an equation of the line tangent to the graph of f at the given point.

f(x) = sec⁻¹(e^x); (ln 2,π/3)

Suppose f is a one-to-one function with f(2)=8 and f′(2)=4. What is the value of (f^−1)′(8)?