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Popular >

derivative of 6x^{1.5}-4x^{0.5}

Solution

\frac{d}{d x} (6 x^{1.5} - 4 x^{0.5})

Solution

\frac{- 2 + 9 x}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (6 x^{1.5} - 4 x^{0.5})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x^{1.5}) - \frac{d}{d x} (4 x^{0.5})

\frac{d}{d x} (6 x^{1.5}) = 9 x^{0.5}

\frac{d}{d x} (4 x^{0.5}) = \frac{2}{x ^{0.5}}

= 9 x^{0.5} - \frac{2}{x ^{0.5}}

Simplify

9 x^{\frac{1}{2}} - \frac{2}{x ^{\frac{1}{2}}} : \frac{- 2 + 9 x}{x ^{\frac{1}{2}}}

= \frac{- 2 + 9 x}{x ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is the derivative of 6x^{1.5}-4x^{0.5} ?
The derivative of 6x^{1.5}-4x^{0.5} is (-2+9x)/(x^{1/2)}
What is the first derivative of 6x^{1.5}-4x^{0.5} ?
The first derivative of 6x^{1.5}-4x^{0.5} is (-2+9x)/(x^{1/2)}