Card 1 of 24
What does f′(x)f'(x)f′(x) give for the curve y=f(x)y=f(x)y=f(x)?
A
For angles in radians, limh→0sinhh=1\displaystyle \lim_{h\to0}\frac{\sin h}{h}=1h→0limhsinh=1 and limh→0cosh−1h=0\boxed{\displaystyle \lim_{h\to0}\frac{\cos h-1}{h}=0}h→0limhcosh−1=0.
B
The curve is convex (concave upwards).
C
f′(x)<0f'(x)<0f′(x)<0
D
The gradient of the tangent at each xxx.
Card 1 of 24
1.10.1 The derivative and second derivative Flashcards
24 flashcards on AQA A Level Maths 1.10.1 The derivative and second derivative: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.