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Popular >

derivative of (1+10^{ln(x})^6)

Solution

\frac{d}{d x} ((1 + 1 0^{l n (x)})^{6})

Solution

6 (1 + 1 0^{l n (x)})^{5} ln (10) x^{l n (10) - 1}

Solution steps

\frac{d}{d x} ((1 + 1 0^{l n (x)})^{6})

Apply the chain rule:

6 (1 + 1 0^{l n (x)})^{5} \frac{d}{d x} (1 + 1 0^{l n (x)})

= 6 (1 + 1 0^{l n (x)})^{5} \frac{d}{d x} (1 + 1 0^{l n (x)})

\frac{d}{d x} (1 + 1 0^{l n (x)}) = ln (10) x^{l n (10) - 1}

= 6 (1 + 1 0^{l n (x)})^{5} ln (10) x^{l n (10) - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (1+10^{ln(x})^6) ?
The derivative of (1+10^{ln(x})^6) is 6(1+10^{ln(x)})^5ln(10)x^{ln(10)-1}
What is the first derivative of (1+10^{ln(x})^6) ?
The first derivative of (1+10^{ln(x})^6) is 6(1+10^{ln(x)})^5ln(10)x^{ln(10)-1}