Formulae To Remember

Key Calculus for A Level: Differentiation

Differentiation

d d x x n = n x ( n 1 )

d d x e k x = k e x

d d x l n ( x ) = 1 / x

d d x ( a x 2 + b x + c ) = 2 a x + b

Differentiation of Trigonometric Ratios

d d x sin k x = k cos k x

d d x cos k x = k sin k x

The Chain Rule

d y d x = d y d u × d u d x <\math>

w h e r e   y = f ( u ) a n d u = g ( x )

The Product Rule

d y d x = u d v d x + v d u d x

w h e r e   u   a n d   v   a r e   f u n c t i o n s   o f   x   a n d   y = u v  

The Quotient Rule

d y d x = u d u d x v d u d x v 2

  w h e r e   u   a n d   v   a r e   f u n c t i o n s   o f   x   a n d  

y = u v

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