What is the derivative of (x+5x^2^3) ?

The derivative of (x+5x^2^3) is 3(x+5x^2)^2(1+10x)

What is the first derivative of (x+5x^2^3) ?

The first derivative of (x+5x^2^3) is 3(x+5x^2)^2(1+10x)

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\frac{d}{d x} ((x + 5 x^{2})^{3})

3 (x + 5 x^{2})^{2} (1 + 10 x)

Solution steps

\frac{d}{d x} ((x + 5 x^{2})^{3})

Apply the chain rule:

3 (x + 5 x^{2})^{2} \frac{d}{d x} (x + 5 x^{2})

= 3 (x + 5 x^{2})^{2} \frac{d}{d x} (x + 5 x^{2})

\frac{d}{d x} (x + 5 x^{2}) = 1 + 10 x

= 3 (x + 5 x^{2})^{2} (1 + 10 x)

What is the derivative of (x+5x^2^3) ?
The derivative of (x+5x^2^3) is 3(x+5x^2)^2(1+10x)
What is the first derivative of (x+5x^2^3) ?
The first derivative of (x+5x^2^3) is 3(x+5x^2)^2(1+10x)