Answer:
What is the Power rule?
The Power rule tells us how to differentiate expressions of the form x^nx
n
x, start superscript, n, end superscript (in other words, expressions with xxx raised to any power):
\dfrac{d}{dx}x^n=n\cdot x^{n-1}
dx
d
x
n
=n⋅x
n−1
start fraction, d, divided by, d, x, end fraction, x, start superscript, n, end superscript, equals, n, dot, x, start superscript, n, minus, 1, end superscript
Basically, you take the power and multiply it by the expression, then you reduce the power by 111.
Example: What is the derivative of x2 ?
For x2 we use the Power Rule with n=2:
The derivative of x2 = 2x(2-1)
= 2x1
= 2x
Answer: the derivative of x2 is 2x
