Find the derivative of $\frac{16g^2h^5}{20g^4h}$

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$\frac{d}{dh}\left(\frac{4h^{4}}{5g^{2}}\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of (16g^2h^5)/(20g^4h). Simplifying. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.