What is the derivative of f(x)=(x^2+x+1)^3 ?

The derivative of f(x)=(x^2+x+1)^3 is 3(x^2+x+1)^2(2x+1)

What is the first derivative of f(x)=(x^2+x+1)^3 ?

The first derivative of f(x)=(x^2+x+1)^3 is 3(x^2+x+1)^2(2x+1)

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derivative of

f (x) = (x^{2} + x + 1)^{3}

3 (x^{2} + x + 1)^{2} (2 x + 1)

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (x^{2} + x + 1)^{2} (2 x + 1)

sin (ω \cdot t)

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What is the derivative of f(x)=(x^2+x+1)^3 ?
The derivative of f(x)=(x^2+x+1)^3 is 3(x^2+x+1)^2(2x+1)
What is the first derivative of f(x)=(x^2+x+1)^3 ?
The first derivative of f(x)=(x^2+x+1)^3 is 3(x^2+x+1)^2(2x+1)