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Popular >

-x/((16+x^2)^{3/2)}

Solution

- \frac{x}{( 16 + x ^{2} ) ^{\frac{3}{2}}}

Solution

- \frac{x}{( x ^{2} + 16 ) ( x ^{2} + 16 ) ^{\frac{1}{2}}}

Solution steps

- \frac{x}{( x ^{2} + 16 ) ^{\frac{3}{2}}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(16 + x^{2})^{\frac{3}{2}} = (16 + x^{2})^{1 + \frac{1}{2}} = (16 + x^{2}) (16 + x^{2})^{\frac{1}{2}}

= - \frac{x}{( x ^{2} + 16 ) ( x ^{2} + 16 ) ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is -x/((16+x^2)^{3/2)} ?
The solution to -x/((16+x^2)^{3/2)} is -x/((x^2+16)(x^2+16)^{1/2)}