What is the derivative of f(x)=4x^{5/4}+10x^{3/2}+3x ?

The derivative of f(x)=4x^{5/4}+10x^{3/2}+3x is 5x^{1/4}+15x^{1/2}+3

What is the first derivative of f(x)=4x^{5/4}+10x^{3/2}+3x ?

The first derivative of f(x)=4x^{5/4}+10x^{3/2}+3x is 5x^{1/4}+15x^{1/2}+3

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derivative of

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

5 x^{\frac{1}{4}} + 15 x^{\frac{1}{2}} + 3

Solution steps

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

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

= 5 x^{\frac{1}{4}} + 15 x^{\frac{1}{2}} + 3

\int x^{5} x^{6} - 1 d x

x^{2} + 4 x + 3, y = - 1, x = 0, [- 2, 0]

k = 1 \sum \infty (20)^{k}

\int_{- 4}^{4} ∣ x - 3 ∣ d x

f (x) = (\frac{x ^{3}}{x ^{8} + 5})^{2}

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