What is the derivative of (4x^2+9^6) ?

The derivative of (4x^2+9^6) is 48x(4x^2+9)^5

What is the first derivative of (4x^2+9^6) ?

The first derivative of (4x^2+9^6) is 48x(4x^2+9)^5

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\frac{d}{d x} ((4 x^{2} + 9)^{6})

48 x (4 x^{2} + 9)^{5}

Solution steps

\frac{d}{d x} ((4 x^{2} + 9)^{6})

Apply the chain rule:

6 (4 x^{2} + 9)^{5} \frac{d}{d x} (4 x^{2} + 9)

= 6 (4 x^{2} + 9)^{5} \frac{d}{d x} (4 x^{2} + 9)

\frac{d}{d x} (4 x^{2} + 9) = 8 x

= 6 (4 x^{2} + 9)^{5} \cdot 8 x

Simplify

= 48 x (4 x^{2} + 9)^{5}

What is the derivative of (4x^2+9^6) ?
The derivative of (4x^2+9^6) is 48x(4x^2+9)^5
What is the first derivative of (4x^2+9^6) ?
The first derivative of (4x^2+9^6) is 48x(4x^2+9)^5