What is the derivative of (x^2+1^{0.6}) ?

The derivative of (x^2+1^{0.6}) is (1.2x)/((x^2+1)^{0.4)}

What is the first derivative of (x^2+1^{0.6}) ?

The first derivative of (x^2+1^{0.6}) is (1.2x)/((x^2+1)^{0.4)}

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\frac{d}{d x} ((x^{2} + 1)^{0.6})

\frac{1.2 x}{( x ^{2} + 1 ) ^{0.4}}

Solution steps

\frac{d}{d x} ((x^{2} + 1)^{0.6})

Apply the chain rule:

\frac{0.6}{( x ^{2} + 1 ) ^{0.4}} \frac{d}{d x} (x^{2} + 1)

= \frac{0.6}{( x ^{2} + 1 ) ^{0.4}} \frac{d}{d x} (x^{2} + 1)

\frac{d}{d x} (x^{2} + 1) = 2 x

= \frac{0.6}{( x ^{2} + 1 ) ^{0.4}} \cdot 2 x

Simplify

\frac{0.6}{( x ^{2} + 1 ) ^{0.4}} \cdot 2 x : \frac{1.2 x}{( x ^{2} + 1 ) ^{0.4}}

= \frac{1.2 x}{( x ^{2} + 1 ) ^{0.4}}

What is the derivative of (x^2+1^{0.6}) ?
The derivative of (x^2+1^{0.6}) is (1.2x)/((x^2+1)^{0.4)}
What is the first derivative of (x^2+1^{0.6}) ?
The first derivative of (x^2+1^{0.6}) is (1.2x)/((x^2+1)^{0.4)}