What is the derivative of f(x)=2x^4-5x^{7/2}+3 ?

The derivative of f(x)=2x^4-5x^{7/2}+3 is 8x^3-(35x^{5/2})/2

What is the first derivative of f(x)=2x^4-5x^{7/2}+3 ?

The first derivative of f(x)=2x^4-5x^{7/2}+3 is 8x^3-(35x^{5/2})/2

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derivative of

f (x) = 2 x^{4} - 5 x^{\frac{7}{2}} + 3

8 x^{3} - \frac{35 x ^{\frac{5}{2}}}{2}

Solution steps

\frac{d}{d x} (2 x^{4} - 5 x^{\frac{7}{2}} + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{4}) - \frac{d}{d x} (5 x^{\frac{7}{2}}) + \frac{d}{d x} (3)

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

\frac{d}{d x} (5 x^{\frac{7}{2}}) = \frac{35 x ^{\frac{5}{2}}}{2}

\frac{d}{d x} (3) = 0

= 8 x^{3} - \frac{35 x ^{\frac{5}{2}}}{2} + 0

Simplify

= 8 x^{3} - \frac{35 x ^{\frac{5}{2}}}{2}

\int 0.5 ln (x) d x

x \to 1 lim (x^{2} + 4 x + 3)

\int_{0}^{4} x - \frac{x}{2} d x

4 s - 1

f (x) = 2 x^{2} + 4 x, (- 3, 6)

What is the derivative of f(x)=2x^4-5x^{7/2}+3 ?
The derivative of f(x)=2x^4-5x^{7/2}+3 is 8x^3-(35x^{5/2})/2
What is the first derivative of f(x)=2x^4-5x^{7/2}+3 ?
The first derivative of f(x)=2x^4-5x^{7/2}+3 is 8x^3-(35x^{5/2})/2