my-exam

Past papers that actually teach you

Browse thousands of topical past paper questions with full Step-by-step walkthroughs and mark schemes.
Snap a photo: we find that exact question in our bank, or solve it for you if it isn't there.

Topical practiceEvery question from a real past paper

Question

✦ Step-by-step

Mark scheme

0606/13 · Winter 2025 · Q2 · Differentiation

StandardDetailed

Plan: Product rule on

x^{2}

and

e^{3x}

, then take out the common factor.

Name the two factors and differentiate each

u = x^{2},\; u' = 2x \qquad v = e^{3x},\; v' = 3e^{3x}

Apply the product rule, then factorise

2xe^{3x} + 3x^{2}e^{3x} = (2x+3x^{2})e^{3x}

Tip: decide which factor is u and which is v before you start.

Photo searchNew · Snap any question

Stuck on a question? Just take a photo.

✓In our bank: you get the real question, its Step-by-step walkthrough and the mark scheme.

✓Not in our bank: we work out a full solution for you.

01 / READ

The Question

Real exam wording, figures and marks, filtered to the exact chapter you're revising.

02 / LEARN

Step-by-step ✦

A clear worked solution with reasoning, concept notes and examiner tips at every step.

03 / CHECK

Mark Scheme

The official marking points (M1, A1…) so you know exactly how marks are awarded.

my-exam

Step-by-step walkthroughs and mark schemes for real past paper questions.

企业微信 · 扫码联系我们

咨询答疑、支付与会员问题
领取更多福利与最新活动

my-exam

真题不只是刷,是讲到你会

海量真题按专题练习,配完整逐步讲解和评分标准。
拍张照:题库里有就直接给你原题,没有就当场帮你解出来。

按专题刷题每道题都来自真题

题目

✦ 讲解

评分标准

0606/13 · Winter 2025 · Q2 · Differentiation

标准版手写考试版

Plan: Product rule on

x^{2}

and

e^{3x}

, then take out the common factor.

Name the two factors and differentiate each

u = x^{2},\; u' = 2x \qquad v = e^{3x},\; v' = 3e^{3x}

Apply the product rule, then factorise

2xe^{3x} + 3x^{2}e^{3x} = (2x+3x^{2})e^{3x}

提示:先想清楚哪个是 u、哪个是 v,再动笔。

拍照搜题新功能 · 随拍随搜

卡住了?拍张照就行。

✓库里有: 直接给你原题、逐步讲解和评分标准。

✓库里没有: 当场帮你解出完整过程。

01 / 读题

题目

真实考题的文字、图形和分值,按你在复习的章节精确筛选。

02 / 学习

逐步讲解 ✦

每一步都讲清楚推理过程,配概念笔记和考官提示。

03 / 核对

评分标准

官方评分点(M1、A1…),让你清楚每一分是怎么拿到的。

my-exam

真题配逐步讲解和评分标准。

企业微信 · 扫码联系我们

咨询答疑、支付与会员问题
领取更多福利与最新活动