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Popular >

(d^3)/(dx^3)(x(2x+1)^3)

Solution

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

Solution

192 x + 72

Solution steps

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

\frac{d}{d x} (x (2 x + 1)^{3}) = (2 x + 1)^{3} + 6 x (2 x + 1)^{2}

= \frac{d ^{2}}{d x ^{2}} ((2 x + 1)^{3} + 6 x (2 x + 1)^{2})

\frac{d}{d x} ((2 x + 1)^{3} + 6 x (2 x + 1)^{2}) = 96 x^{2} + 72 x + 12

= \frac{d}{d x} (96 x^{2} + 72 x + 12)

\frac{d}{d x} (96 x^{2} + 72 x + 12) = 192 x + 72

= 192 x + 72

Popular Examples

derivative of-ln(x)derivative of

- ln (x)

derivative of (x-2x^3)

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

tangent of f(x)=14-x^2,(2,10)tangent of

f (x) = 14 - x^{2}, (2, 10)

taylor f(x)=x^3+9x-1 taylor

f (x) = x^{3} + 9 x - 1

sum from n=1 to infinity of (e^n)/(n^n)

n = 1 \sum \infty \frac{e ^{n}}{n ^{n}}

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(x(2x+1)^3) ?
The answer to (d^3)/(dx^3)(x(2x+1)^3) is 192x+72