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

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

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

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

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derivative of

f (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)

y = \frac{3 x \cdot 5 + 2}{x}

y = (x^{3} + 3)^{4}

3 x^{5} + 2 x^{3} + 5 x

\frac{3}{( r - 2 ) ^{2}}

x = 5 + 6 t + 7 t^{2}

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