IB Maths AA SL AA 5.1 practice question

Question 1

Paper 1, no calculatorEasy7 marks

The curve $C$ has equation $y=f(x)=(x+1)e^{x^2}$ where $x\in\mathbb R$ The curve passes through $(0,1)$

(a)

Determine $f'(x)$

[3]

(b)

Hence, determine the equation of the tangent to $C$ at $x=0$

[3]

(c)

The tangent meets the $x$ -axis at $P$ Find the $x$ -coordinate of $P$

[1]

More AA 5.1 Limits and differentiation questions