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Differentiation

Medium

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Question 1

i(a).

Differentiate with respect to $x$ : $x^2 \cos 3x$ .

[3]

i(b).

Differentiate with respect to $x$ : $ln⁡(x2+1)x2+1\displaystyle \frac{\ln(x^2 + 1)}{x^2 + 1}$ .

[4]

ii.

A curve $C\,$ has the equation $y=(4x+1),x>−14,y>0\displaystyle y = \sqrt{(4x+1)}, x > -\frac{1}{4}, y > 0$ . The point $P\,$ on the curve has $x$ -coordinate 2. Find an equation of the tangent to $C\,$ at $P\,$ in the form $a x + b y + c = 0$ , where $a$ , $b\,$ and $c\,$ are integers.

[6]

Markscheme

Differentiation Questions

A Level
Old Maths
Differentiation

14 exam-style questions on Edexcel A Level Old Maths Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

Differentiation

Question bank

Differentiation

Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Question 1

i(a).

Differentiate with respect to $x$ : $x^2 \cos 3x$ .

[3]

i(b).

Differentiate with respect to $x$ : $ln⁡(x2+1)x2+1\displaystyle \frac{\ln(x^2 + 1)}{x^2 + 1}$ .

[4]

ii.

[6]

Markscheme

Differentiation Questions

A Level
Old Maths
Differentiation

14 exam-style questions on Edexcel A Level Old Maths Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.