Find the derivative of $\cos\left(x\right)^2+x\frac{-\sin\left(y\right)^2}{\sin\left(x\right)^2}\sin\left(y\right)^2=\tan\left(\frac{\pi }{2}-x\right)^2\tan\left(\frac{\pi }{2}-y\right)^2-1$
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Learn how to solve differential calculus problems step by step online. Find the derivative of cos(x)^2+(-sin(y)^2)/(sin(x)^2)xsin(y)^2=tan(pi/2-x)^2tan(pi/2-y)^2-1. Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-1) is equal to zero. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=.
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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.