What is the derivative of (7x^3-5^9) ?

The derivative of (7x^3-5^9) is 189x^2(7x^3-5)^8

What is the first derivative of (7x^3-5^9) ?

The first derivative of (7x^3-5^9) is 189x^2(7x^3-5)^8

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\frac{d}{d x} ((7 x^{3} - 5)^{9})

189 x^{2} (7 x^{3} - 5)^{8}

Solution steps

\frac{d}{d x} ((7 x^{3} - 5)^{9})

Apply the chain rule:

9 (7 x^{3} - 5)^{8} \frac{d}{d x} (7 x^{3} - 5)

= 9 (7 x^{3} - 5)^{8} \frac{d}{d x} (7 x^{3} - 5)

\frac{d}{d x} (7 x^{3} - 5) = 21 x^{2}

= 9 (7 x^{3} - 5)^{8} \cdot 21 x^{2}

Simplify

= 189 x^{2} (7 x^{3} - 5)^{8}

f (x) = \frac{2 csc ( x )}{x}

\int_{6}^{7} \frac{1}{20} + \frac{x}{40} d x

\int \frac{1}{2 + 9 x} d x

x \to 0 lim (2 x \cdot cot (3 x))

\frac{d ^{3}}{d x ^{3}} (4 t + 8)

What is the derivative of (7x^3-5^9) ?
The derivative of (7x^3-5^9) is 189x^2(7x^3-5)^8
What is the first derivative of (7x^3-5^9) ?
The first derivative of (7x^3-5^9) is 189x^2(7x^3-5)^8