Calculus
Bayani Gaba-gaba
The last topic estimated the gradient of a curve using a tangent drawn by eye, or two points squeezed close together. Calculus turns that estimate into an exact answer: a single formula, the derivative, that gives the gradient at any point on a curve instantly, with no drawing and no approximation.
You will use differentiation to locate the highest and lowest points on a curve, to find the equation of a tangent, and to move between displacement, velocity and acceleration in problems about moving objects.
Manufura
- Differentiate integer powers of x using dy/dx notation
- Determine gradients, rates of change, maxima, minima, stationary points and turning points
- Apply calculus to linear kinematics and other simple practical problems, including distance/time and speed/time graphs
- Understand the relationship between displacement or distance, velocity and speed, and acceleration
Taswirar tunani
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Katunan tunawa
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Takardar Darasi
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Nazarin Darasi
Barka da kammala darasi akan Calculus. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- What is dy/dx when y = 5x^4? A) 5x^3 B) 20x^3 C) 20x^4 D) 4x^3 Answer: B
- Differentiate y = 3x^2 - 7x + 2. A) 6x - 7 B) 3x - 7 C) 6x + 2 D) 6x^2 - 7 Answer: A
- At a stationary point of a curve, dy/dx equals: A) 1 B) undefined C) 0 D) the y-value Answer: C
- The curve y = x^2 - 4x + 3 has a stationary point at: A) (2, -1) B) (4, 3) C) (-2, -1) D) (2, 1) Answer: A
- If displacement s = t^2 - 4t, the velocity ds/dt equals: A) t - 4 B) 2t - 4 C) 2t D) t^2 - 4 Answer: B
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Yi Aikin Tambayoyin Gwaji
Kana son yin aikin tambayoyin gwaji kan Calculus? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.
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