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

The derivative of f(x)=(3x^4+7)^6 is 72x^3(3x^4+7)^5

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

The first derivative of f(x)=(3x^4+7)^6 is 72x^3(3x^4+7)^5

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derivative of

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

72 x^{3} (3 x^{4} + 7)^{5}

Solution steps

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

Apply the chain rule:

6 (3 x^{4} + 7)^{5} \frac{d}{d x} (3 x^{4} + 7)

= 6 (3 x^{4} + 7)^{5} \frac{d}{d x} (3 x^{4} + 7)

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

= 6 (3 x^{4} + 7)^{5} \cdot 12 x^{3}

Simplify

= 72 x^{3} (3 x^{4} + 7)^{5}

\frac{d}{d x} (\frac{2 x ^{3}}{( x ^{2} + 1 ) ^{2}})

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

y^{^{'}} = 2 e^{2 x - y}, y (0) = 0

\frac{d}{d x} (x^{3} - x^{2} + 7 x - 1)

\int 2 \cdot cos (x) d x

What is the derivative of f(x)=(3x^4+7)^6 ?
The derivative of f(x)=(3x^4+7)^6 is 72x^3(3x^4+7)^5
What is the first derivative of f(x)=(3x^4+7)^6 ?
The first derivative of f(x)=(3x^4+7)^6 is 72x^3(3x^4+7)^5