Question

find the derivative of the function??

1. X1/2 ( x2 + x - 4 )

Answer 1

Answer to question#50092

$$\frac{d}{dx} \left( \sqrt{x} \left( x^2 + x - 4 \right) \right) = \left( x^2 + x - 4 \right) \frac{d}{dx} (\sqrt{x}) + \sqrt{x} \frac{d}{dx} \left( x^2 + x - 4 \right) = \left( x^2 + x - 4 \right) \frac{1}{2\sqrt{x}} + \sqrt{x} (2x + 1) = \frac{5x^2 + 3x - 4}{2\sqrt{x}}$$

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