Question

F (x) = 54x − 4x^ 2 , find f '( − 3 )

Answer 1

To find the derivative of the function f(x) = 54x - 4x^2 at x = -3, we differentiate the function to get f'(x) = 54 - 8x, and then substitute -3 into the derivative to find that f'(-3) = 78.

Step-by-step explanation:

The question asks to find the derivative of the function f(x) = 54x − 4x^2 at the point x = − 3. To find f'(x), we first differentiate f(x) with respect to x. This gives us:

f'(x) = 54 − 8x

Now, to find f'( − 3 ), we substitute − 3 into the derivative:

f'( − 3 ) = 54 − 8(− 3) = 54 + 24 = 78

Therefore, the value of f'( − 3 ) is 78.