Basic Derivatives
Product and Quotient Rule
Chain Rule
Exponentials
tangent lines &
normal lines
normal lines
100
What is the derivative of
y = 3x^2
?
y' = 6x
100
Find the derivative of
y = (3x+2)^2
18x+12
100
Find y' if
y = (3x - 9)^4
12(3x - 9)^3
100
e^x
e^x
100
what is the slope of the tangent line? the tangent line is
5x-2.5=-2(y+3)
slope =
-5/2
200
Find the derivative of
f(x) = 5
0
200
f(x) = (3x - 2x^2)(5 + 4x)
-24x^2 + 4x + 15
200
Find the derivative of
f(x) = (4x^2- 1)^10
80x(4x^2-1)^9
200
y=2e^(sqrtx)
e^(sqrt(x))/sqrt(x)
200
what is the normal line of
f(x)=-1/2x^2+2x+1
y=1(x-3)+2.5
300
Find the derivative of
f(x) = 6x^3 + x - 2
18x2 + 1
300
Find the derivative of
y = (5x - 2)/(x^2 + 1)
(-5x^2 + 4x + 5)/(x^2 + 1)^2
300
Find y' if
y = (9x^2 + 4)^(1/3)
(6x)/(9x^2 + 4)^(2/3
300
f(x)=sqrt(5+e^(2x)
e^(2x)/sqrt(5+e^(2x)
300
write the equation for the normal line to
f(x)=(1+x)^(-1/2), x=3
y=16(x-3)+1/2
400
h(x)=f(x)*g(x), h'(3)= ?
15-8pi
400
Find the derivative of
f(x) = (2x + 5)/(x)^(1/2)
(2x - 5)/(2x^(3/2)
400
f(x) = sqrt(1-2x)
Find f'(x)
-(1-2x)^(-1/2)
400
y=3^(x^2-1)
2xln3(3^(x^2-1))
400
Write the equation for the tangent line when (2,1)
x^2y+y^2x=6
y'=5/8(x-2)+1
500
Find the third derivative of
5x^5+2x^2+4x
300x^2
500
Find the Derivative of
y= (2x+1)/(2x-1)
y'=-4/(2x-1)^2
500
Find
f'(x)
f(x)=1/sqrt(x)
-1/(2sqrt(x^3))
500
g(x)=(e^x+e^(-x))/x
[x(e^x-e^(-x))-(e^x+e^(-x))]/x^2
500
if 5x^2+2x^2y+y^2=8
then y' at the point (1,1) is?
y'=-7/2