Product Rule What is the product rule? Exam Tip The product rule formulae are NOT in the? formulae booklet – you need to know them. Don't confuse the?product?of two functions with a?composite?funct...
Chain Rule What is the chain rule? The chain rule is a formula that allows you to differentiate?composite functions If?y?is a function of?u, and?u?is a function of?x, then the?chain rule tells us t...
Differentiating Other Functions (Trig, ln & e etc) How do I differentiate common functions? These are the common results How do I differentiate exponentials and logarithms? The two basic differ...
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ACT與SAT并稱為“美國(guó)高考”，ACT成績(jī)也是世界各國(guó)高中畢業(yè)生申請(qǐng)美國(guó)本科入學(xué)資格的重要參考指標(biāo)，全稱“American College Test”，中文名稱為“美國(guó)大學(xué)入學(xué)考試”。它是美國(guó)大學(xué)本科的入學(xué)條件之一，也是獎(jiǎng)學(xué)金發(fā)放...
每年中考出分后的時(shí)間，很多家長(zhǎng)都在想，孩子選校還有沒有更好的選擇？當(dāng)然有！ 想要轉(zhuǎn)軌國(guó)際教育的家庭，現(xiàn)在報(bào)名國(guó)際高中秋招入學(xué)考試還來得及！中考高分的同學(xué)還能拿到高額獎(jiǎng)學(xué)金！ 對(duì)于初入魔都國(guó)際擇校圈的...
First Principles Differentiation - Trigonometry How do I derive the derivatives of trigonometric functions from first principles? Recall that for a function?f(x)?the definition of the?derivative fr...
Modelling with Differentiation inc. Optimisation How can I use differentiation to solve modelling questions? Derivatives can be calculated for any variables – not just?y?and?x In every case the der...
Sketching Gradient Functions How can I sketch a function's gradient function? Using your knowledge of gradients and derivatives you can use the graph of a function to sketch the corresponding?gradi...
Stationary Points & Turning Points What are stationary points? A stationary point is any point on a curve where the gradient is zero To find stationary points of a function?f(x) Step 1:?Find th...
Second Order Derivatives What is the second order derivative of a function? If you differentiate the derivative of a function (ie differentiate the function a second time) you get the?second order ...
Increasing & Decreasing Functions What are increasing and decreasing functions? A function?f(x)?is?increasing?on an interval?[a,?b]?if?f'(x)?≥?0?for all values of?x?such that?a<?x?<?b. If...
