AP Calculus AB : Slope of a curve at a point
Study concepts, example questions & explanations for AP Calculus AB
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Example Questions
Example Question #51 : Slope Of A Curve At A Point
Find the slope, 
The slope of any point on this function can be determined by plugging the point's x-value into the 
Example Question #52 : Slope Of A Curve At A Point
Find m in 
To find the tangent line at the given point, we need to first take the derivative of the given function.
To find the derivative we need to use product rule. Product rule states that we take the derivative of the first function and multiply it by the derivative of the second function and then add that with the derivative of the second function multiplied by the given first function. To find the derivative of each separate function we need to use power rule.
Power rule says that we take the exponent of the “x” value and bring it to the front. Then we subtract one from the exponent
Use power rule and we get :
From here, to find the slope at the given point we plug in "2" for x.
This comes out to equal
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