Basic Derivatives
Product and Quotient Rule
Chain Rule
Trigonometric Differentiation
Natural Logarithms and Exponentials
Tangent lines
100
What is the derivative of
y = 3x^2
?
y' = 6x
100
Find the derivative of
y = 3x^2 sin x
3x^2 cos x + 6x sin x
100
Find y' if
y = (3x - 9)^4
12(3x - 9)^3
100
Find the derivative of
f(x) = 3sinx - 2cosx
3cosx + 2sinx
100
ln4x^3
3/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) = sin 4x
4 cos 4x
200
y=-4cos3x^5
y'=60x^4sin3x^5
200
y=e^(sinsqrtx)
cossqrtx/(2sqrtx )(e^sinsqrtx)
200
what is the slope of the tangent line at (1,3)
f(x)=-4/(2x^2)+2x+3
f’(1)=6
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
y=x^3/sin(5x)
y=(3x^2sin5x-5x^3cos5x)/sin^2(5x)
300
f(x)=sqrt(5+e^(2x)
e^(2x)/sqrt(5+e^(2x)
300
write the equation for the normal line to
f(x)=sqrt((1+x)^3), (3,8)
y=3(x-3)+8
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) = sin^3 4x
Find f'(x)
12sin^2 4x cos 4x
400
w(x)=g(x)sinx, w'(0)=?
pi/2
400
y=3^(x^2-1)
2xln3(3^(x^2-1))
400
Write the equation for the tangent line when x=3
y=4e^(x^2-9)
y=24(x-3)+4
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'(theta)
f(theta)=cossqrt(theta)
-(sinsqrt(theta))/(2sqrt(theta))
500
y=e^(3x)tan5x^5
y'=25x^4sec^25x^5e^(3x)+3e^(3x)tan5x^5
500
g(x)=4xlnx
4+4lnx
500
f(x)=ln(cos(x^2-1))
Find the equation to the tangent line at (1,0)
y=0