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Popular >

derivative of 4x^{5/4}+10x^{3/2}+10x

Solution

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

Solution

5 x^{\frac{1}{4}} + 15 x^{\frac{1}{2}} + 10

Solution steps

\frac{d}{d x} (4 x^{\frac{5}{4}} + 10 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} (10 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} (10 x^{\frac{3}{2}}) = 15 x^{\frac{1}{2}}

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

= 5 x^{\frac{1}{4}} + 15 x^{\frac{1}{2}} + 10

Popular Examples

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y^'=3x+y,y(0)=7

y^{^{'}} = 3 x + y, y (0) = 7

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x \to 0 + lim (x^{2} csc^{2} (x))

Frequently Asked Questions (FAQ)

What is the derivative of 4x^{5/4}+10x^{3/2}+10x ?
The derivative of 4x^{5/4}+10x^{3/2}+10x is 5x^{1/4}+15x^{1/2}+10
What is the first derivative of 4x^{5/4}+10x^{3/2}+10x ?
The first derivative of 4x^{5/4}+10x^{3/2}+10x is 5x^{1/4}+15x^{1/2}+10