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

The derivative of y=(x^2+3)^7 is 14x(x^2+3)^6

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

The first derivative of y=(x^2+3)^7 is 14x(x^2+3)^6

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derivative of

y = (x^{2} + 3)^{7}

14 x (x^{2} + 3)^{6}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 14 x (x^{2} + 3)^{6}

What is the derivative of y=(x^2+3)^7 ?
The derivative of y=(x^2+3)^7 is 14x(x^2+3)^6
What is the first derivative of y=(x^2+3)^7 ?
The first derivative of y=(x^2+3)^7 is 14x(x^2+3)^6