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3.5.2 Differentiation (A-level only)

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Question 80

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

[3]

iia.

Differentiate $3x^2 - 4)^3$ with respect to $x$ .

[2]

iib.

Hence show that

\int_{0}^{2} x(3x^2 - 4)^2 \, dx = K

where $K$ is an integer to be found.

(Solutions relying on calculator technology are not acceptable.)

[4]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.2 Differentiation (A-level only)

Question bank

3.5.2 Differentiation (A-level only)

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Question 80

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

[3]

iia.

Differentiate $3x^2 - 4)^3$ with respect to $x$ .

[2]

iib.

Hence show that

\int_{0}^{2} x(3x^2 - 4)^2 \, dx = K

where $K$ is an integer to be found.

(Solutions relying on calculator technology are not acceptable.)

[4]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.