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Popular >

derivative of 2x^4-5x^3+4

Solution

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

Solution

8 x^{3} - 15 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (4) = 0

= 8 x^{3} - 15 x^{2} + 0

Simplify

= 8 x^{3} - 15 x^{2}

Popular Examples

limit as h approaches 0 of-2x-h+3

h \to 0 lim (- 2 x - h + 3)

derivative of sqrt(3)cos(4x+sin(4x))

\frac{d}{d x} (3 cos (4 x) + sin (4 x))

area x=1,x=3,y=x^3-8,y=0 area

x = 1, x = 3, y = x^{3} - 8, y = 0

laplacetransform 2(t-3)^2+15(t-3)+26 laplace transform

2 (t - 3)^{2} + 15 (t - 3) + 26

derivative of (8(4^x)/(x^4))

\frac{d}{d x} (\frac{8 ( 4 ^{x} )}{x ^{4}})

Frequently Asked Questions (FAQ)

What is the derivative of 2x^4-5x^3+4 ?
The derivative of 2x^4-5x^3+4 is 8x^3-15x^2
What is the first derivative of 2x^4-5x^3+4 ?
The first derivative of 2x^4-5x^3+4 is 8x^3-15x^2