What is the derivative of (x^5+1^6) ?

The derivative of (x^5+1^6) is 30x^4(x^5+1)^5

What is the first derivative of (x^5+1^6) ?

The first derivative of (x^5+1^6) is 30x^4(x^5+1)^5

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\frac{d}{d x} ((x^{5} + 1)^{6})

30 x^{4} (x^{5} + 1)^{5}

Solution steps

\frac{d}{d x} ((x^{5} + 1)^{6})

Apply the chain rule:

6 (x^{5} + 1)^{5} \frac{d}{d x} (x^{5} + 1)

= 6 (x^{5} + 1)^{5} \frac{d}{d x} (x^{5} + 1)

\frac{d}{d x} (x^{5} + 1) = 5 x^{4}

= 6 (x^{5} + 1)^{5} \cdot 5 x^{4}

Simplify

= 30 x^{4} (x^{5} + 1)^{5}

What is the derivative of (x^5+1^6) ?
The derivative of (x^5+1^6) is 30x^4(x^5+1)^5
What is the first derivative of (x^5+1^6) ?
The first derivative of (x^5+1^6) is 30x^4(x^5+1)^5