CALCULUS
Branch of mathematics that helps us
understand changes between values that are
related by a function
Estimating
Gradient
of Curves
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Estimating
Gradient
of Curves
A tangent is a straight line which touches the curve
without crossing it.
Note :
When we say that the tangent at P does not cross the
curve we mean that this is only the case locally (close to
the point P). The tangent might also intersect a different
part of the curve.
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4
Gradient
using
Quadratic
Theory
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Practice Questions
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Practice Questions : Answers
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Gradient
using
Limit
Theory
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Gradient
using
Limit
Theory
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Differentiation
from First
Principles
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Find an expression for the gradient of the chord PQ:
Differentiation
from First
Principles
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Differentiation
from First
Principles
To denote this idea of the distance h approaching zero, we use
lim, which reads as ‘the limit as h tends to 0’.
h→0
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Differentiation
from First
Principles
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Differentiation
from First
Principles
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Differentiation
from First
Principles
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Practice Questions
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Practice Questions : Answers
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RULES ON
DIFFERENTIATION
Note: c represents a constant
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Practice Questions
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Practice Questions
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Practice Questions : Answers
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