rules for differentiation foldable

2
Derivative of x n Derivative of x n Derivative of a constant Derivative of a constant The chain rule The chain rule The product rule The product rule The quotient rule The quotient rule dy dx = anx n1 dy dx = anx n1 dy dx = 0 dy dx = 0 dy dx = dy du × du dx dy dx = dy du × du dx dy dx = u dv dx + v du dx dy dx = u dv dx + v du dx dy dx = v du dx u dv dx v 2 dy dx = v du dx u dv dx v 2 Rules for Differentiation Rules for Differentiation

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A foldable for reviewing the Rules of Differentiation.

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Page 1: Rules for Differentiation Foldable

Derivative of xn

Derivative of xn

Derivative of a constant

Derivative of a constant

The chain rule

The chain rule

The product rule

The product rule

The quotient rule

The quotient rule

dydx

= anxn−1 dydx

= anxn−1

dydx

= 0 dydx

= 0

dydx

= dydu

× dudx

dydx

= dydu

× dudx

dydx

= u dvdx

+ v dudx

dydx

= u dvdx

+ v dudx

dydx

=vdudx

− u dvdx

v2dydx

=vdudx

− u dvdx

v2

Rul

es fo

r Diff

eren

tiatio

n

Rul

es fo

r Diff

eren

tiatio

n

Page 2: Rules for Differentiation Foldable

where u=g(x), v=h(x)

y=g(x)h(x)=u

vwhere u=g(x), v=h(x)

y=g(x)h(x)=u

v

where u=g(x), v=h(x)y=g(x)h(x)=uv

where u=g(x), v=h(x)y=g(x)h(x)=uv

where u=h(x)

y=gh(x) ⎡⎣⎤⎦=g(u)where u=h(x)

y=gh(x) ⎡⎣⎤⎦=g(u)

y=a y=a

y=axn y=axn

Fold Cut

Fold Cut

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