Skip to content

Course home

3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278
Question 204
i.

Determine ddxln⁡(sec⁡43x)\frac{d}{dx}\ln(\sec^4 3x)dxd​ln(sec43x), giving your answer in its simplest form.

[3]
iia.

Differentiate (3x2−4)3(3x^2 - 4)^3(3x2−4)3 with respect to xxx.

[2]
iib.

Hence show that

∫02x(3x2−4)2 dx=K \int_{0}^{2} x(3x^2 - 4)^2 \, dx = K ∫02​x(3x2−4)2dx=K

where KKK is an integer to be found.

(Solutions relying on calculator technology are not acceptable.)

[4]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank