Compute the derivative of the following function f(x)=3x^2 at x=2

12

Step-by-step explanation:

Differentiate using the power rule

(a) = na

Given

f(x) = 3x², then

f'(x) = 2 × 3 × = 6x, thus

f'(2) = 6 × 2 = 12

"Use Pythagorean Theorem to solve (a right triangle with the base being one of the side lengths and the height being the other side length.  a^2 + b^2 = c^2
64^2 + 100^2 = length of diagonal ^2
4096 + 10000 = 14096
The length of the diagonal is the square root of 14096 or 118.727 meters (rounded to the thousandths place). "
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