Power Rule
Product Rule
Quotient Rule
Exponential/Logarithmic Rule
Chain Rule
100
f(x)=5x-3
f'(x)=-15x-4
100
f(x)=(5x2+7)(8x-5)
f'(x)=120x2-50x+56
100
f(x)=(x3-4x)/(3x)
(3x)(3x2-4)-(x3-4x)(3)/(3x)2
100
f(x)=ex-3, determine if there is a horizontal tangent.
1
100
f(x)=2sin(cosx)
F(x)=2cos(cosx) * -sinx
300
f(x)=13x1/2+2x
f'(x)=6.5x-1/2+2
300
f(x)=(6x3-12x2)(4x4+12x-3)
(6x3-12x2)(16x3-36x-4)+(4x4+12y-3)(18x2-24x)
300
f(x)=(6x4-12x2)/(14x-3)
(14x-3)(24x3-24x)-(6x4-12x2)(14)/(14x-3)2
300
f(x)=lnx-14x+ex, find f'(x)=2
-13.5+e2
300
f(x)=e2x-3
e2x-3 * 2
500
f(x)=12x3+4x
f(x)= 36x2+4
500
f(x)=(16x2-14x)(15x-3+12-4x4)
(16x2-14x)(-45x-4-16x3)+(15x-3+12-4x4)(36x-14)
500
f(x)=(x)/(12x-3+4x2)
(12x-3+4x2)(1)-(x)(-36x-4+8x)/(12x-3+4x2)2
500
f(x)=3ln(x3-3), determine the rate of change at x=4
3/61
500
f(x)=(3x2-4)2
2(3x2-4) * 6x