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Popular >

derivative of (x+y^2^4)

Solution

\frac{d}{d x} ((x + y^{2})^{4})

Solution

4 (x + y^{2})^{3} (1 + 2 y \frac{d y}{d x})

Solution steps

\frac{d}{d x} ((x + y^{2})^{4})

Apply the chain rule:

4 (x + y^{2})^{3} \frac{d}{d x} (x + y^{2})

= 4 (x + y^{2})^{3} \frac{d}{d x} (x + y^{2})

\frac{d}{d x} (x + y^{2}) = 1 + 2 y \frac{d y}{d x}

= 4 (x + y^{2})^{3} (1 + 2 y \frac{d y}{d x})

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Frequently Asked Questions (FAQ)

What is the derivative of (x+y^2^4) ?
The derivative of (x+y^2^4) is 4(x+y^2)^3(1+2y(dy)/(dx))
What is the first derivative of (x+y^2^4) ?
The first derivative of (x+y^2^4) is 4(x+y^2)^3(1+2y(dy)/(dx))