What is the derivative of (3x^2+7x^4) ?

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

f (x) = x^{3} - 9 x, at x = 3

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

\frac{d}{d x} (arccos (3 x + 1))

\int 3^{x} x d x

f (0) = \frac{x}{x ^{2} + 4}

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