What is the derivative of 18(x^2+6)^8 ?

The derivative of 18(x^2+6)^8 is 288x(x^2+6)^7

What is the first derivative of 18(x^2+6)^8 ?

The first derivative of 18(x^2+6)^8 is 288x(x^2+6)^7

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derivative of

18 (x^{2} + 6)^{8}

288 x (x^{2} + 6)^{7}

Solution steps

\frac{d}{d x} (18 (x^{2} + 6)^{8})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 18 \frac{d}{d x} ((x^{2} + 6)^{8})

Apply the chain rule:

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

= 8 (x^{2} + 6)^{7} \frac{d}{d x} (x^{2} + 6)

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

= 18 \cdot 8 (x^{2} + 6)^{7} \cdot 2 x

Simplify

= 288 x (x^{2} + 6)^{7}

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

\int \frac{cot ^{2} ( x )}{sin ^{2} ( x )} d x

cos (π t)

\int_{1}^{3} - x^{2} + 4 x - 3 d x

\frac{d}{d x} (- e^{2 x})

What is the derivative of 18(x^2+6)^8 ?
The derivative of 18(x^2+6)^8 is 288x(x^2+6)^7
What is the first derivative of 18(x^2+6)^8 ?
The first derivative of 18(x^2+6)^8 is 288x(x^2+6)^7