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