What is the derivative of 4x^{5/4}+8x^{3/2}+10x ?

The derivative of 4x^{5/4}+8x^{3/2}+10x is 5x^{1/4}+12x^{1/2}+10

What is the first derivative of 4x^{5/4}+8x^{3/2}+10x ?

The first derivative of 4x^{5/4}+8x^{3/2}+10x is 5x^{1/4}+12x^{1/2}+10

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derivative of

4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 10 x

5 x^{\frac{1}{4}} + 12 x^{\frac{1}{2}} + 10

Solution steps

\frac{d}{d x} (4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 10 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{\frac{5}{4}}) + \frac{d}{d x} (8 x^{\frac{3}{2}}) + \frac{d}{d x} (10 x)

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

\frac{d}{d x} (8 x^{\frac{3}{2}}) = 12 x^{\frac{1}{2}}

\frac{d}{d x} (10 x) = 10

= 5 x^{\frac{1}{4}} + 12 x^{\frac{1}{2}} + 10

\frac{\partial}{\partial x} (e^{t - x})

t y^{^{'}} - 2 y = t^{4}

\int_{0}^{1} sin (x) e^{x} d x

\frac{1}{s} - \frac{s + 8}{s ^{2} + 8 s + 25}

\int ∣ x - 3 ∣ d x

What is the derivative of 4x^{5/4}+8x^{3/2}+10x ?
The derivative of 4x^{5/4}+8x^{3/2}+10x is 5x^{1/4}+12x^{1/2}+10
What is the first derivative of 4x^{5/4}+8x^{3/2}+10x ?
The first derivative of 4x^{5/4}+8x^{3/2}+10x is 5x^{1/4}+12x^{1/2}+10