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Popular >

derivative of (2x^4-7x^3+2x-1^2)

Solution

\frac{d}{d x} ((2 x^{4} - 7 x^{3} + 2 x - 1)^{2})

Solution

2 (2 x^{4} - 7 x^{3} + 2 x - 1) (8 x^{3} - 21 x^{2} + 2)

Solution steps

\frac{d}{d x} ((2 x^{4} - 7 x^{3} + 2 x - 1)^{2})

Apply the chain rule:

2 (2 x^{4} - 7 x^{3} + 2 x - 1) \frac{d}{d x} (2 x^{4} - 7 x^{3} + 2 x - 1)

= 2 (2 x^{4} - 7 x^{3} + 2 x - 1) \frac{d}{d x} (2 x^{4} - 7 x^{3} + 2 x - 1)

\frac{d}{d x} (2 x^{4} - 7 x^{3} + 2 x - 1) = 8 x^{3} - 21 x^{2} + 2

= 2 (2 x^{4} - 7 x^{3} + 2 x - 1) (8 x^{3} - 21 x^{2} + 2)

Popular Examples

integral of xcos(npix)

\int x cos (nπ x) d x

tangent of x^3-25x+5 tangent of

x^{3} - 25 x + 5

derivative of 2x^3-11.7x^2+17.7x-5

\frac{d}{d x} (2 x^{3} - 11.7 x^{2} + 17.7 x - 5)

taylor (1+x)^{1/2}taylor

(1 + x)^{\frac{1}{2}}

derivative of (x^{1/2}+y^{1/2}^2)

\frac{d}{d x} ((x^{\frac{1}{2}} + y^{\frac{1}{2}})^{2})

Frequently Asked Questions (FAQ)

What is the derivative of (2x^4-7x^3+2x-1^2) ?
The derivative of (2x^4-7x^3+2x-1^2) is 2(2x^4-7x^3+2x-1)(8x^3-21x^2+2)
What is the first derivative of (2x^4-7x^3+2x-1^2) ?
The first derivative of (2x^4-7x^3+2x-1^2) is 2(2x^4-7x^3+2x-1)(8x^3-21x^2+2)