Finding the Slope of a Curve at a Point
Problems That You Should Practice
- Calculate the derivative (power rule).
- Evaluate the derivative for the x value of the given point.
- The answer is the
slope.
Directions: Please calculate the slope of the graph of the given function at the given point.
Step 1
f’(x)=6x^2-2x+2
Step 2
f’(-2)=6(-2)^2-2(-2)+2
f’(-2)=6(4)+4+2
f’(-2)=24+4+2
f’(-2)=30
Step 3
The slope of the curve at x=-2 is 30.
Problems that You Should Practice
Directions: Please calculate the slope of the graph of the given functions at the given points.
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