What is the derivative of (6x^2+7x^4) ?

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

What is the first derivative of (6x^2+7x^4) ?

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

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\frac{d}{d x} ((6 x^{2} + 7 x)^{4})

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

Solution steps

\frac{d}{d x} ((6 x^{2} + 7 x)^{4})

Apply the chain rule:

4 (6 x^{2} + 7 x)^{3} \frac{d}{d x} (6 x^{2} + 7 x)

= 4 (6 x^{2} + 7 x)^{3} \frac{d}{d x} (6 x^{2} + 7 x)

\frac{d}{d x} (6 x^{2} + 7 x) = 12 x + 7

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

e^{x^{2} + x}

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

\int \frac{3}{2 x + 7} d x

\int_{1}^{e} (\frac{1}{x}) d x

\frac{d}{d x} (4 e^{- 4 x})

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