What is the derivative of 2x^{3/2}+4x^{5/4} ?

The derivative of 2x^{3/2}+4x^{5/4} is 3x^{1/2}+5x^{1/4}

What is the first derivative of 2x^{3/2}+4x^{5/4} ?

The first derivative of 2x^{3/2}+4x^{5/4} is 3x^{1/2}+5x^{1/4}

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\frac{d}{d x} (2 x^{\frac{3}{2}} + 4 x^{\frac{5}{4}})

3 x^{\frac{1}{2}} + 5 x^{\frac{1}{4}}

Solution steps

\frac{d}{d x} (2 x^{\frac{3}{2}} + 4 x^{\frac{5}{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{\frac{3}{2}}) + \frac{d}{d x} (4 x^{\frac{5}{4}})

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

\frac{d}{d x} (4 x^{\frac{5}{4}}) = 5 x^{\frac{1}{4}}

= 3 x^{\frac{1}{2}} + 5 x^{\frac{1}{4}}

\frac{d}{d x} (2 x 25 - x^{2})

\int (x^{5} e^{x^{6}}) d x

\int x^{3} - 2 x + 3 d x

\frac{\partial}{\partial x} (9 x)

x \to 4 lim (x^{3})

What is the derivative of 2x^{3/2}+4x^{5/4} ?
The derivative of 2x^{3/2}+4x^{5/4} is 3x^{1/2}+5x^{1/4}
What is the first derivative of 2x^{3/2}+4x^{5/4} ?
The first derivative of 2x^{3/2}+4x^{5/4} is 3x^{1/2}+5x^{1/4}