Final Answer
$\frac{15x^{2}}{\sqrt{1-25x^{6}}}$
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Step-by-step Solution
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1
Taking the derivative of arcsine
$\frac{1}{\sqrt{1-\left(5x^3\right)^2}}\frac{d}{dx}\left(5x^3\right)$
Learn how to solve quadratic equations problems step by step online.
$\frac{1}{\sqrt{1-\left(5x^3\right)^2}}\frac{d}{dx}\left(5x^3\right)$
Learn how to solve quadratic equations problems step by step online. Find the derivative of arcsin(5x^3). Taking the derivative of arcsine. 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. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Final Answer
$\frac{15x^{2}}{\sqrt{1-25x^{6}}}$