What is the derivative of (3x^5-1^7) ?

The derivative of (3x^5-1^7) is 105x^4(3x^5-1)^6

What is the first derivative of (3x^5-1^7) ?

The first derivative of (3x^5-1^7) is 105x^4(3x^5-1)^6

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\frac{d}{d x} ((3 x^{5} - 1)^{7})

105 x^{4} (3 x^{5} - 1)^{6}

Solution steps

\frac{d}{d x} ((3 x^{5} - 1)^{7})

Apply the chain rule:

7 (3 x^{5} - 1)^{6} \frac{d}{d x} (3 x^{5} - 1)

= 7 (3 x^{5} - 1)^{6} \frac{d}{d x} (3 x^{5} - 1)

\frac{d}{d x} (3 x^{5} - 1) = 15 x^{4}

= 7 (3 x^{5} - 1)^{6} \cdot 15 x^{4}

Simplify

= 105 x^{4} (3 x^{5} - 1)^{6}

What is the derivative of (3x^5-1^7) ?
The derivative of (3x^5-1^7) is 105x^4(3x^5-1)^6
What is the first derivative of (3x^5-1^7) ?
The first derivative of (3x^5-1^7) is 105x^4(3x^5-1)^6