Determine the derivative of 𝑦𝑥=𝑥2 at the point x
Question
Determine the derivative of 𝑦𝑥=𝑥2 at the point x
Solution
To find the derivative of the function y = x^2, we use the power rule for differentiation, which states that the derivative of x^n is n*x^(n-1).
Step 1: Identify the power of x, which is 2.
Step 2: Apply the power rule. The derivative is given by 2x^(2-1) = 2x.
So, the derivative of y = x^2 is y' = 2x.
Step 3: To find the derivative at a specific point x, simply substitute that value into the derivative. If you want the derivative at the point x, the derivative is 2*x.
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