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Popular >

derivative of 2+4x^{3/2}

Solution

\frac{d}{d x} (2 + 4 x^{\frac{3}{2}})

Solution

6 x^{\frac{1}{2}}

Solution steps

\frac{d}{d x} (2 + 4 x^{\frac{3}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (4 x^{\frac{3}{2}})

\frac{d}{d x} (2) = 0

\frac{d}{d x} (4 x^{\frac{3}{2}}) = 6 x^{\frac{1}{2}}

= 0 + 6 x^{\frac{1}{2}}

Simplify

= 6 x^{\frac{1}{2}}

Graph

Popular Examples

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\frac{d}{d x} (ln (1 - 5 x^{2} + x^{3}))

derivative of x^4+9e^x derivative of

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tangent of f(x)=x^2-3 tangent of

f (x) = x^{2} - 3

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x \to \infty lim ((1 + \frac{1}{x ^{3}})^{2 x^{2}})

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Frequently Asked Questions (FAQ)

What is the derivative of 2+4x^{3/2} ?
The derivative of 2+4x^{3/2} is 6x^{1/2}
What is the first derivative of 2+4x^{3/2} ?
The first derivative of 2+4x^{3/2} is 6x^{1/2}