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Basic Mathematics – I
Notes These formulas have many practical applications. They can be used to find the instantaneous
rates of change of variables. For example, if we use the formula above, the instantaneous velocity
at time t = a is equal to the limit of f(a h) – f(a)/h as h approaches 0.
Example: Find the equation of the tangent line to the curve at the point (2, 3).
Solution:
We are given that a = 2 and f(x) = Substituting these values into the slope of a tangent
line formula, we have
m =
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