IB Maths AA HL AA 5.1 Limits and differentiation questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Question 1

Paper 1, no calculatorMedium6 marks

In Figure 1, the solid curve is $y=g(x)$ The dashed line is its tangent at $P$ where $x=0$

(a)

Using Figure 1, write down the values of $g(0)$ and $g'(0)$

[2]

(b)

The function $F$ is defined by

F(x)=\frac{e^{g(x)}}{x+2}.

Determine $F'(0)$ giving your answer exactly.

[4]

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