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Popular >

derivative of 3(7-3x^3^3)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (7 - 3 x^{3}) = - 9 x^{2}

= 3 \cdot 3 (7 - 3 x^{3})^{2} (- 9 x^{2})

Simplify

= - 81 x^{2} (7 - 3 x^{3})^{2}

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derivative of 1+csc(x)

\frac{d}{d x} (1 + csc (x))

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x \to - \infty lim (- x e^{x})

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y = x^{2} - 4 x, y = 2 x - x^{2}

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Frequently Asked Questions (FAQ)

What is the derivative of 3(7-3x^3^3) ?
The derivative of 3(7-3x^3^3) is -81x^2(7-3x^3)^2
What is the first derivative of 3(7-3x^3^3) ?
The first derivative of 3(7-3x^3^3) is -81x^2(7-3x^3)^2