Question
find slope of curve at given point
f (x) = 5x- 3x²
f (x) = 5x- 3x²
Answers
Answered by
GPT 3.5
To find the slope of the curve at a given point, we need to find the derivative of the function and evaluate it at that point.
Taking the derivative of f(x) = 5x - 3x² using the power rule and constant rule, we get:
f'(x) = 5 - 6x
Let's say we want to find the slope of the curve at the point (2, f(2)). To do this, we substitute x = 2 into the derivative:
f'(2) = 5 - 6(2) = 5 - 12 = -7
Therefore, the slope of the curve at the point (2, f(2)) is -7.
Taking the derivative of f(x) = 5x - 3x² using the power rule and constant rule, we get:
f'(x) = 5 - 6x
Let's say we want to find the slope of the curve at the point (2, f(2)). To do this, we substitute x = 2 into the derivative:
f'(2) = 5 - 6(2) = 5 - 12 = -7
Therefore, the slope of the curve at the point (2, f(2)) is -7.