Calculate the value of the derivative of the function y = 3x ^ 2 at the point x0 = 1.

univerkov | September 4, 2021 | education

Let’s write the formula for calculating the derivative of the power function:

(y ^ n) ‘= n (y) ^ (n-1);

We calculate the derivative of this function using the written formula:

y ‘= (3x ^ 2) = 3 * 2 * x = 6x;

We calculate the value of the found derivative at the point x0:

y ‘(x0) = 6 * (1) = 6.

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