Find the derivative using logarithmic differentiation method $\cos\left(x\right)^2+x\frac{-\sin\left(y\right)^2}{\sin\left(x\right)^2}\sin\left(y\right)^2=\tan\left(\frac{\pi }{2}-x\right)^2\tan\left(\frac{\pi }{2}-y\right)^2-1$
Unlock unlimited step-by-step solutions and much more!
Create a free account and unlock a glimpse of this solution.
Learn how to solve differential calculus problems step by step online. Find the derivative using logarithmic differentiation method cos(x)^2+(-sin(y)^2)/(sin(x)^2)xsin(y)^2=tan(pi/2-x)^2tan(pi/2-y)^2-1. Simplifying. To derive the function \tan\left(\frac{\pi}{2}-x\right)^2\tan\left(\frac{\pi}{2}-y\right)^2-1, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation. Apply natural logarithm to both sides of the equality. Apply logarithm properties to both sides of the equality.
The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.