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Popular >

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

Solution

derivative of

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

Solution

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

Solution steps

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

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

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

\frac{d}{d x} (3 x) = 3

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

Graph

Popular Examples

5y^{''}-6y^'+3y=2-3x^2

5 y^{^{''}} - 6 y^{^{'}} + 3 y = 2 - 3 x^{2}

tangent of f(x)=(3x)/(x^2-6),(3,3)tangent of

f (x) = \frac{3 x}{x ^{2} - 6}, (3, 3)

derivative of y=(x^5)/(5-x^4)derivative of

y = \frac{x ^{5}}{5 - x ^{4}}

derivative of 64-x^2

\frac{d}{d x} (64 - x^{2})

derivative of e^{7x}cos(10x)derivative of

e^{7 x} cos (10 x)

Frequently Asked Questions (FAQ)

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