Exercise
$\frac{d}{dx}\left(e^x+y=\arccos\left(x\right)\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(e^x+y=arccos(x)). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Applying the derivative of the exponential function. Taking the derivative of arccosine.
Find the implicit derivative d/dx(e^x+y=arccos(x))
Final answer to the exercise
$y^{\prime}=\frac{-1}{\sqrt{1-x^2}}-e^x$