What is the derivative of (5+x^4^{12}) ?

The derivative of (5+x^4^{12}) is 48x^3(5+x^4)^{11}

What is the first derivative of (5+x^4^{12}) ?

The first derivative of (5+x^4^{12}) is 48x^3(5+x^4)^{11}

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\frac{d}{d x} ((5 + x^{4})^{12})

48 x^{3} (5 + x^{4})^{11}

Solution steps

\frac{d}{d x} ((5 + x^{4})^{12})

Apply the chain rule:

12 (5 + x^{4})^{11} \frac{d}{d x} (5 + x^{4})

= 12 (5 + x^{4})^{11} \frac{d}{d x} (5 + x^{4})

\frac{d}{d x} (5 + x^{4}) = 4 x^{3}

= 12 (5 + x^{4})^{11} \cdot 4 x^{3}

Simplify

= 48 x^{3} (5 + x^{4})^{11}

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What is the derivative of (5+x^4^{12}) ?
The derivative of (5+x^4^{12}) is 48x^3(5+x^4)^{11}
What is the first derivative of (5+x^4^{12}) ?
The first derivative of (5+x^4^{12}) is 48x^3(5+x^4)^{11}