What is the derivative of (x^3-2x^2+3x+1^{11}) ?

The derivative of (x^3-2x^2+3x+1^{11}) is 11(x^3-2x^2+3x+1)^{10}(3x^2-4x+3)

What is the first derivative of (x^3-2x^2+3x+1^{11}) ?

The first derivative of (x^3-2x^2+3x+1^{11}) is 11(x^3-2x^2+3x+1)^{10}(3x^2-4x+3)

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\frac{d}{d x} ((x^{3} - 2 x^{2} + 3 x + 1)^{11})

11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} (3 x^{2} - 4 x + 3)

Solution steps

\frac{d}{d x} ((x^{3} - 2 x^{2} + 3 x + 1)^{11})

Apply the chain rule:

11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} \frac{d}{d x} (x^{3} - 2 x^{2} + 3 x + 1)

= 11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} \frac{d}{d x} (x^{3} - 2 x^{2} + 3 x + 1)

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

= 11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} (3 x^{2} - 4 x + 3)

What is the derivative of (x^3-2x^2+3x+1^{11}) ?
The derivative of (x^3-2x^2+3x+1^{11}) is 11(x^3-2x^2+3x+1)^{10}(3x^2-4x+3)
What is the first derivative of (x^3-2x^2+3x+1^{11}) ?
The first derivative of (x^3-2x^2+3x+1^{11}) is 11(x^3-2x^2+3x+1)^{10}(3x^2-4x+3)