The f(3) of the line tangent to y is determined as 45 and the f'(3) is determined as 30.
The f(3) for the line tangent to y is calculated as follows;
y = f(x)
y = 5x²
f(3) = 5(3)²
f(3) = 45
The solution to the first derivate of the line tangent to y is calculated as follows;
f' = dy/dx = 10x
f'(3) = 10(3) = 30
Thus, the f(3) of the line tangent to y is determined as 45 and the f'(3) is determined as 30.
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