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Popular >

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

Solution

derivative of

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

Solution

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

Solution steps

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

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

Popular Examples

integral of (4x^2-1)/((x^2+4)(2-x))

\int \frac{4 x ^{2} - 1}{( x ^{2} + 4 ) ( 2 - x )} d x

f (x) = - \frac{x}{4}

tangent of f(x)=4x^2-4x+1,\at x=1,y=0 tangent of

f (x) = 4 x^{2} - 4 x + 1, at x = 1, y = 0

integral of cos(4x)sin(x)

\int cos (4 x) sin (x) d x

derivative of y=(x^2+1)/(x^3-1)-5x^2 derivative of

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

Frequently Asked Questions (FAQ)

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