Basic Derivatives
What is the derivative of
y = 3x2 ?
y' = 6x
Find the derivative of
y = 3x2 sin x
y'=3x2 cos x + 6x sin x
Find the derivative
f(x) = sec x
f'(x) = sec x tan x
Find y''' if
y = ex
y''' = ex
Find the derivative of
f(x) = ln6
f'(x)=0
Find the derivative
f(x) = (3x - 2x2)(5 + 4x)
Do not simplify
f'(x)=(3x-2x2)(4)+(3-4x)4
Find the derivative
y = csc(x)tan(x)
y' = sec x tan x
What is the limit definition of a derivative?
lim as h -> 0 of ( f(x + h) - f(x) ) / h
Find the derivative of
f(x) = 6x3 + x - 2
f'(x)=18x2 + 1
Find the derivative of
y = sin(5x )/(x2 + 1)
Do not Simplify
y'=[(x2+1)cos(5x)5-sin(5x)2x]/(x2+1)2
Find the derivative
f(x) = sin x tan x
f'(x) = cos x tan x + sec2x sin x
Who is considered the English "Father of Calculus"?
Sir Isaac Newton
Find the derivative of
f(x) = 3sinx - 2cosx
f'(x)=3cosx + 2sinx
Find the derivative of
f(x) = (e2xsin(x))/x4
f'(x)=[x4(e2xcosx+2e2xsinx)-e2xsin(x)4x3]/(x4)2
Find the derivative of
y = tan x tan x
y' = 2 sec2 x tan x
Who is considered the French "Father of Calculus"?
Wilhelm Gottfried Leibniz
Find and SIMPLIFY f'(x):
f(x)=(3+x3-xe)/x
f'(x)=-3x-2+2x
The derivative of
y=(x3+7)(ex)
y'= 3x2ex + ex(x3+7)
Find the derivative of
y=sin x (3ex)
y'= cos x (3ex ) + (3ex) sin x
What is the triple derivative of y = cos(x) ?
y''' = sin x