Calculus
Techniques
of Differentiation, Rates of Change, Derivatives of Trigonometric Functions
The
Chain Rule, Implicit Differentiation, Maximum and Minimum Values
Integration, The Definite Integral, Area Under a
Curve, Solids of
Revolution, Center of Gravity,.....more.
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Featured
Topics
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Differentiation
Introduction
Differentiation is an operation used on a
given function f(x) to produce a derived function f'(x).
This derived function or derivative with respect to x
is used to find further solutions in particular math applications. Let's check
out the basic rule. If f(x)
= 2x3, then f'(x)
= 6x2. What we have done is an operation in two steps. First,
the index 3 in f(x) is used to multiply 2 to get 6. Next,
1 is subtracted from the same index 3 to get 2. The derivative f'(x)
is therefore 6x2. The derivative
of a constant such as 4 is 0 and that of x with
respect to x is 1.
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and
solve the PROBLEM
OF THE DAY.
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