At the end of this course, each student should be able to: Define the concepts of functions, range, and domain at the conclusion of this session, Use maps to diagrammatically depict the link between Range and Domain.
List the various types of functions.
Limits and continuity.
Differentiation is...
, Function of a function(composite rule)
Sin x is a function of x since the value of sin x depends
the value of the angle x. similarly, sin(2x+5) is a function
the angle (2x+5) since the value of the sine depends on
value of this angle.
i.e sin(2x+5) is a function of (2x+5)
But (2x+5) is itself a function of x, since its value depend
x.
i.e (2x+5) is a function of x
Sin(2x+5) is therefore a function of a function of x and s
expressions are referred to generally as functions of a
function.
So 𝑒 𝑠𝑖𝑛𝑦 is a function of a function of y
, Example
1. If 𝑦 = cos 5𝑥 − 4 , differentiate with respect to x
07-Jun-20 MTH 121- General Mathematics II (Calculus)
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