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Edexcel A Level Maths: Pure:復(fù)習(xí)筆記8.1.5 Area between a curve and a line
Area between a curve and a line What is the area between a curve and a straight line? This is the area enclosed by a curve and a line between their?intersections The intersections may need to be fo...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記8.1.4 Area Under a Curve
Area Under a Curve What does area under a curve mean? The phrase “area under a curve” refers to the area bounded by … ... the?x-axis … the graph of?y = f(x) … the vertical line?x = a … the vertical...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記8.1.3 Definite Integration
Definite Integration What is definite integration? Definite?Integration?occurs in an alternative version of the Fundamental Theorem of Calculus This version of the Theorem is the one referred to by...
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Edexcel A Level Maths: Pure:復(fù)習(xí)筆記8.1.2 Integrating Powers of x
Integrating Powers of x What is integration? ?Integration is the?inverse?('opposite') of differentiation How do I integrate powers of x? ?For each term … … increase the power (of x) by 1 … divide b...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記8.1.1 Fundamental Theorem of Calculus
Fundamental Theorem of Calculus What is the fundamental theorem of calculus? The Fundamental Theorem of Calculus states that integration is the inverse process of differentiation This form of the T...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記7.5.1 Implicit Differentiation
Implicit Differentiation What is implicit differentiation? An equation connecting?x?and?y?is not always easy to write?explicitly?in the form?y=?f(x)?or?x?=?f(y) However you can still differentiate ...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記7.4.3 Connected Rates of Change
Connected Rates of Change What are connected rates of change? In situations involving more than two variables you can use the?chain rule?to connect multiple rates of change into a single equation E...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記7.4.2 Points of Inflection
Points of Inflection What is a point of inflection? At AS level you encountered points of inflection when discussing?stationary points When the sign of the first derivative (ie of the gradient) is ...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記7.4.1 Applications of the Second Derivative
Applications of the Second Derivative What applications of the second derivative do I need to know? The?second order derivative?(or simply?second derivative) is encountered at AS level At AS level ...
Edexcel A Level Maths: Pure:復(fù)習(xí)筆記7.3.6 Differentiating Reciprocal and Inverse Trig Functions
Differentiating Reciprocal and Inverse Trig Functions How do I differentiate the reciprocal trigonometric functions? The formulae for the derivatives of the reciprocal trigonometric functions are: ...
