Find the derivative of f(x)=x2.
Get the complete, step-by-step math solution for: "Find the derivative of f(x)=x².". Powered by SolveForX AI math tutor.
Step-by-Step Solution
Step 1: Recall the Power Rule
To find the derivative of f(x)=x2, we can use the power rule for differentiation. The power rule states that the derivative of x raised to the power of n is n times x raised to the power of n−1. In our case, n=2.
Step 2: Apply the Power Rule
Now, we apply the power rule by substituting n=2 into the formula. This means we bring the exponent 2 down as a coefficient and subtract 1 from the exponent.
Step 3: Simplify the expression
Finally, we simplify the expression. 2−1 equals 1, so x2−1 becomes x1, which is simply x. Therefore, the derivative of x2 is 2x.