What is the derivative of 2(3-x^2)^7 ?

The derivative of 2(3-x^2)^7 is -28x(3-x^2)^6

What is the first derivative of 2(3-x^2)^7 ?

The first derivative of 2(3-x^2)^7 is -28x(3-x^2)^6

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derivative of

2 (3 - x^{2})^{7}

- 28 x (3 - x^{2})^{6}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= - 28 x (3 - x^{2})^{6}

\frac{d}{d x} (cos (2 x))

\int \frac{x}{3 - 4 x ^{2}} d x

x \to \infty lim (91)

\int \frac{2 x}{x ^{2} + 2 x + 1} d x

\int (12 x + 5) d x

What is the derivative of 2(3-x^2)^7 ?
The derivative of 2(3-x^2)^7 is -28x(3-x^2)^6
What is the first derivative of 2(3-x^2)^7 ?
The first derivative of 2(3-x^2)^7 is -28x(3-x^2)^6