Card 1 of 23
The power rule is [...]\text{[...]}[...].
A
dAdt=4π m2 s−1\frac{dA}{dt}=4\pi\text{ m}^2\text{ s}^{-1}dtdA=4π m2 s−1.
B
At corresponding points, inverse derivatives satisfy dydx=1dxdy\boxed{\frac{dy}{dx}=\frac{1}{\frac{dx}{dy}}}dxdy=dydx1, provided dxdy≠0\frac{dx}{dy}\neq0dydx=0.
C
The power rule is ddx(xn)=nxn−1\boxed{\frac{d}{dx}(x^n)=nx^{n-1}}dxd(xn)=nxn−1.
D
If area AAA depends on radius rrr, which depends on time ttt, then dAdt=dAdrdrdt\boxed{\frac{dA}{dt}=\frac{dA}{dr}\frac{dr}{dt}}dtdA=drdAdtdr.
Card 1 of 23
3.6.5 Differentiation (A-level only) Flashcards
23 flashcards on WJEC A Level Maths 3.6.5 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.