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3.6.6 Differentiation (A-level only)

Card 1 of 20

When yyy depends on xxx,

ddx(yn)=\htmlClass. \frac{d}{dx}(y^n)=\htmlClass{remove-space}{\text{[...]}}. dxd​(yn)=\htmlClass.
A

For x=f(t)x=f(t)x=f(t) and y=g(t)y=g(t)y=g(t),

dydx=\htmlClass. \frac{dy}{dx}=\htmlClass{remove-space}{\boxed{\frac{dy/dt}{dx/dt}}}. dxdy​=\htmlClass.
B

No gradient can be concluded without further analysis.

C

20y3dydx\displaystyle \mathbf{20y^3\frac{dy}{dx}}20y3dxdy​

D

When yyy depends on xxx,

ddx(yn)=\htmlClass. \frac{d}{dx}(y^n)=\htmlClass{remove-space}{\boxed{ny^{n-1}\frac{dy}{dx}}}. dxd​(yn)=\htmlClass.

Card 1 of 20

3.6.6 Differentiation (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /3.6.6 Differentiation (A-level only)

20 flashcards on WJEC A Level Maths 3.6.6 Differentiation (A-level only): the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4.

Flashcards