What is the derivative of y=(1+5x)^{10} ?

The derivative of y=(1+5x)^{10} is 50(1+5x)^9

What is the first derivative of y=(1+5x)^{10} ?

The first derivative of y=(1+5x)^{10} is 50(1+5x)^9

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derivative of

y = (1 + 5 x)^{10}

50 (1 + 5 x)^{9}

Solution steps

\frac{d}{d x} ((1 + 5 x)^{10})

Apply the chain rule:

10 (1 + 5 x)^{9} \frac{d}{d x} (1 + 5 x)

= 10 (1 + 5 x)^{9} \frac{d}{d x} (1 + 5 x)

\frac{d}{d x} (1 + 5 x) = 5

= 10 (1 + 5 x)^{9} \cdot 5

Simplify

= 50 (1 + 5 x)^{9}

What is the derivative of y=(1+5x)^{10} ?
The derivative of y=(1+5x)^{10} is 50(1+5x)^9
What is the first derivative of y=(1+5x)^{10} ?
The first derivative of y=(1+5x)^{10} is 50(1+5x)^9