Respuesta final al problema
$\frac{8x}{\sqrt{1-16x^{4}}}$
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Solución explicada paso por paso
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Taking the derivative of arcsine
$\frac{1}{\sqrt{1-\left(4x^2\right)^2}}\frac{d}{dx}\left(4x^2\right)$
Aprende en línea a resolver problemas de paso a paso.
$\frac{1}{\sqrt{1-\left(4x^2\right)^2}}\frac{d}{dx}\left(4x^2\right)$
Aprende en línea a resolver problemas de paso a paso. Find the derivative of arcsin(4x^2). 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}.
Respuesta final al problema
$\frac{8x}{\sqrt{1-16x^{4}}}$