Derivative of an Inverse Function
Suppose f is one-to-one and differentiable with $$f(x)=\tan(x)+x$$. Given that $$f(\pi/4)= 1+\frac{\pi}{4}$$, use the inverse function derivative formula to compute $$g'(1+\frac{\pi}{4})$$, where g = f⁻¹.
Suppose f is one-to-one and differentiable with $$f(x)=\tan(x)+x$$. Given that $$f(\pi/4)= 1+\frac{\pi}{4}$$, use the inverse function derivative formula to compute $$g'(1+\frac{\pi}{4})$$, where g = f⁻¹.