Finding Points on a Curve with a Given Slope
Srep 1. Calculate the derivative. (power rule)
Step 2. Set the derivative equal to the given slope.
Step 3. Solve for x.
| If the derivative is linear, just isolate x. If the derivative is a quadratic (parabola) use the quadratic formula or complete the square. |
Step 4. Plug your value(s) for x into the original function to get y.
Step 5. Write the ordered pair(s).
Click here to see the steps in flow chart form.
Directions: Please find the point on the graph of the given function that has the given slope.
| Step 1 |  |
| Step 2 |  |
| Step 3 Add 2 to both sides |
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Quadratic Formula a=12 b=32 c=-8 |
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| Step 4 |  |
| Step 5 | At point (.23, -.4) & (-2.89, 66.98) the curve has a slope of -2. |
Problems that You Should Practice
Directions: Please find the point on the graph of the given functions that has the given slope.
