What is the derivative of f(x)=(6x-x^2)^{10} ?

The derivative of f(x)=(6x-x^2)^{10} is 10(6x-x^2)^9(6-2x)

What is the first derivative of f(x)=(6x-x^2)^{10} ?

The first derivative of f(x)=(6x-x^2)^{10} is 10(6x-x^2)^9(6-2x)

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derivative of

f (x) = (6 x - x^{2})^{10}

10 (6 x - x^{2})^{9} (6 - 2 x)

Solution steps

\frac{d}{d x} ((6 x - x^{2})^{10})

Apply the chain rule:

10 (6 x - x^{2})^{9} \frac{d}{d x} (6 x - x^{2})

= 10 (6 x - x^{2})^{9} \frac{d}{d x} (6 x - x^{2})

\frac{d}{d x} (6 x - x^{2}) = 6 - 2 x

= 10 (6 x - x^{2})^{9} (6 - 2 x)

What is the derivative of f(x)=(6x-x^2)^{10} ?
The derivative of f(x)=(6x-x^2)^{10} is 10(6x-x^2)^9(6-2x)
What is the first derivative of f(x)=(6x-x^2)^{10} ?
The first derivative of f(x)=(6x-x^2)^{10} is 10(6x-x^2)^9(6-2x)