What is the derivative of (4x^3-7x^7) ?

The derivative of (4x^3-7x^7) is 7(4x^3-7x)^6(12x^2-7)

What is the first derivative of (4x^3-7x^7) ?

The first derivative of (4x^3-7x^7) is 7(4x^3-7x)^6(12x^2-7)

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\frac{d}{d x} ((4 x^{3} - 7 x)^{7})

7 (4 x^{3} - 7 x)^{6} (12 x^{2} - 7)

Solution steps

\frac{d}{d x} ((4 x^{3} - 7 x)^{7})

Apply the chain rule:

7 (4 x^{3} - 7 x)^{6} \frac{d}{d x} (4 x^{3} - 7 x)

= 7 (4 x^{3} - 7 x)^{6} \frac{d}{d x} (4 x^{3} - 7 x)

\frac{d}{d x} (4 x^{3} - 7 x) = 12 x^{2} - 7

= 7 (4 x^{3} - 7 x)^{6} (12 x^{2} - 7)

\int x 2 x - x^{2} d x

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sin (π x), \frac{1}{2}

(cos^{2} (t))^{^{'}}

What is the derivative of (4x^3-7x^7) ?
The derivative of (4x^3-7x^7) is 7(4x^3-7x)^6(12x^2-7)
What is the first derivative of (4x^3-7x^7) ?
The first derivative of (4x^3-7x^7) is 7(4x^3-7x)^6(12x^2-7)