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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(9y^3=\frac{\sqrt{7x^5-9\sin\left(y\right)^2}}{\sqrt{8\cos\left(x\right)^2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(9y^3=((7x^5-9sin(y)^2)/(8cos(x)^2))^1/2). The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.