What is the derivative of (4x+5x^2^4) ?

The derivative of (4x+5x^2^4) is 4(4x+5x^2)^3(4+10x)

What is the first derivative of (4x+5x^2^4) ?

The first derivative of (4x+5x^2^4) is 4(4x+5x^2)^3(4+10x)

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\frac{d}{d x} ((4 x + 5 x^{2})^{4})

4 (4 x + 5 x^{2})^{3} (4 + 10 x)

Solution steps

\frac{d}{d x} ((4 x + 5 x^{2})^{4})

Apply the chain rule:

4 (4 x + 5 x^{2})^{3} \frac{d}{d x} (4 x + 5 x^{2})

= 4 (4 x + 5 x^{2})^{3} \frac{d}{d x} (4 x + 5 x^{2})

\frac{d}{d x} (4 x + 5 x^{2}) = 4 + 10 x

= 4 (4 x + 5 x^{2})^{3} (4 + 10 x)

What is the derivative of (4x+5x^2^4) ?
The derivative of (4x+5x^2^4) is 4(4x+5x^2)^3(4+10x)
What is the first derivative of (4x+5x^2^4) ?
The first derivative of (4x+5x^2^4) is 4(4x+5x^2)^3(4+10x)