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Popular >

derivative of (2x^5-5x^3+7x^4)

Solution

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

Solution

4 (2 x^{5} - 5 x^{3} + 7 x)^{3} (10 x^{4} - 15 x^{2} + 7)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{5} - 5 x^{3} + 7 x) = 10 x^{4} - 15 x^{2} + 7

= 4 (2 x^{5} - 5 x^{3} + 7 x)^{3} (10 x^{4} - 15 x^{2} + 7)

Popular Examples

integral from 1 to 4 of x^2+2x-5

\int_{1}^{4} x^{2} + 2 x - 5 d x

integral of (x-5)

\int (x - 5) d x

area y=-3x+12,y=2x^2-11x+12 area

y = - 3 x + 12, y = 2 x^{2} - 11 x + 12

integral of (sin(2s))/(cos(2s))

\int \frac{sin ( 2 s )}{cos ( 2 s )} d s

integral of 120x

\int 120 x d x

Frequently Asked Questions (FAQ)

What is the derivative of (2x^5-5x^3+7x^4) ?
The derivative of (2x^5-5x^3+7x^4) is 4(2x^5-5x^3+7x)^3(10x^4-15x^2+7)
What is the first derivative of (2x^5-5x^3+7x^4) ?
The first derivative of (2x^5-5x^3+7x^4) is 4(2x^5-5x^3+7x)^3(10x^4-15x^2+7)