What is the derivative of (2x+1)^{10} ?

The derivative of (2x+1)^{10} is 20(2x+1)^9

What is the first derivative of (2x+1)^{10} ?

The first derivative of (2x+1)^{10} is 20(2x+1)^9

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derivative of

(2 x + 1)^{10}

20 (2 x + 1)^{9}

Solution steps

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

Apply the chain rule:

10 (2 x + 1)^{9} \frac{d}{d x} (2 x + 1)

= 10 (2 x + 1)^{9} \frac{d}{d x} (2 x + 1)

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

= 10 (2 x + 1)^{9} \cdot 2

Simplify

= 20 (2 x + 1)^{9}

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What is the derivative of (2x+1)^{10} ?
The derivative of (2x+1)^{10} is 20(2x+1)^9
What is the first derivative of (2x+1)^{10} ?
The first derivative of (2x+1)^{10} is 20(2x+1)^9