Exercise
$\frac{d}{dx}\left(xz+y\sec\:\left(x\right)=z^2\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(xz+ysec(x)=z^2). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (z^2) is equal to zero. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.
Find the implicit derivative d/dx(xz+ysec(x)=z^2)
Final answer to the exercise
$y^{\prime}=\frac{-z-y\sec\left(x\right)\tan\left(x\right)}{\sec\left(x\right)}$