Common Calculus Mistakes
Example: Tangent Lines
Find the equation of the tangent line to
at x = 2.
Find the mistake:
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(Roll the mouse over the area above to see the correction in blue)
The derivative of a function f(x) provides a formula f'(x) from which the slope of a tangent line can be computed at a point x=a by evaluating f'(x) at x=a, that is, by computing m=f'(a). The result is a number, which then can be used to find the equation of the tangent line at x=a using the point-slope form for a line, in this situation: y - f(a) = m(x-a).
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