Use
the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to find
a. The derivative of f(x) = x + (30/x)
b. The derivative of f(x) = 3x^2- 5x + 30
(a) Find the limit of the following functions:
-lim as x approaches 0 (1-cos3(x)/x)
-lim as x approaches 0 (sin(x)/2x)
-lim as theta approaches 0 (tan (5theta)/theta)
(b) Find the derivative of the following functions:
-f(x) = cos (3x2-2x)
-f(x) = cos3 (x2/1-x)
(c) Determine the period of the following functions:
-f(x) = 3 cos(x/2)
-f(x)= 21+ 7 sin(2x+3)
A) Find the derivative of the function f by using the
rules of differentiation.
f(x) = 380
B)Find the derivative of the function f by using the
rules of differentiation.
f(x) = x0.8
C) Find the derivative
of the function f by using the rules of
differentiation.
D)Find the derivative of the function.
f(u) =
10
u
E)Find the derivative of the function f by using the
rules of differentiation.
f(x) = 9x3 -
2x2 + 1
u
u