Basic Derivatives
Product Rule
Quotient Rule
Chain Rule
Miscellaneous
100
Find the derivative of f(x) = 5
0
100
Find the derivative:
f(x)=(x+2)(3x-1)
f'(x)=6x+5
100
Find the derivative:
y=(x+1)/(x-3)
y'=-4/(x-3)^2
100
Find y' if y = (3x - 9)4
12(3x - 9)3
100
What movie is the following quote from?
"It's the chocolate-covered finger of a man named Clark!"
Hocus Pocus
200
What is the derivative of y = 3x2 ?
y' = 6x
200
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
200
Find the derivative of y = (5x - 2)/(x2 + 1)
(-5x2 + 4x + 5)/(x2 + 1)2
200
Find the derivative of f(x) = sin 4x
4 cos 4x
200
Find the equation of the line tangent to the curve at x=2:
y=3x^2+2
y=12(x-2)+14
300
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
300
Find the derivative of y = 3x2 sin x
3x2 cos x + 6x sin x
300
Find the derivative:
f(x)=(3x-4)/(2x^2-1)
f'(x)=(-6x^2+16x-3)/(2x^2-1)^2
300
Find y' if y = (9x2 + 4)1/3
(6x)/(9x2 + 4)2/3
300
What is the derivative of velocity?
Acceleration
400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400
Find the derivative:
f(x)=x^2lnx
f'(x)=x+2xlnx
400
Find the derivative of f(x) = (2x + 5)/(x)1/2
(2x - 5)/(2x3/2)
400
f(x) = sin3 4x Find f'(x)
12sin2 4x cos 4x
400
What Halloween activity stems from an ancient roman tradition that honored Pomona, the goddess of fruit and trees?
500
Find the second derivative of y:
y=e^x+cosx
y''=e^x-cosx
500
Find the derivative:
y=(x^2+2x)tanx
y'=(x^2+2x)(sec^2x)+(2x+2)(tanx)
500
Find the derivative:
y=(sinxcosx)/tanx
y'=[tanx(-sin^2x+cos^2x)-sinxcosxsec^2x]/tan^2x
500
Find the second derivative:
f(x)=sin4x
f''(x)=-16sin4x
500
What is the limit definition of a derivative?
lim_(h->0)[f(a+h)-f(a)]/h