FP3.3 - Differentiation
- Syllabus
- 2019
- Topic
- —
- Level
- A2
Differentiation of hyperbolic cosh2x For example, tanh 3x, x sinh2 x,. functions and expressions involving (x +1) them.
Use fp3.3.1 - differentiation of hyperbolic cosh2x to connect the rule to the data and decision in the question.
This matters because fp3.3.1 - differentiation of hyperbolic cosh2x determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.
Example: apply fp3.3.1 - differentiation of hyperbolic cosh2x to one small, clearly defined case, show the key step or comparison, and explain the result in words.
Boundary: FP3.3.1 - Differentiation of hyperbolic cosh2x is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.
Differentiation of inverse functions, For example, arcsin x + x (1 – x2), 1 artanh x2. including trigonometric and 2 hyperbolic functions.
Use fp3.3.2 - differentiation of inverse functions, to connect the rule to the data and decision in the question.
This matters because fp3.3.2 - differentiation of inverse functions, determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.
Example: apply fp3.3.2 - differentiation of inverse functions, to one small, clearly defined case, show the key step or comparison, and explain the result in words.
Boundary: FP3.3.2 - Differentiation of inverse functions, is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.