Q1MathsUnit 7: Limit, Continuity and Differentiability
If the radius of a sphere is measured as
with an error of then, find
the approximate error in calculating its volume
Mathematics · JEE
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68+ important formulas for Limit, Continuity and Differentiability
Subtopics in Limit, Continuity and Differentiability
- Real-valued functions, algebra of functions
- Polynomial, rational, trigonometric, logarithmic and exponential functions
- Inverse functions
- Graphs of simple functions
- Limits, continuity and differentiability
- Differentiation of the sum, difference, product and quotient of two functions
- Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions
- Derivatives of order upto two
- Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable
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Q2MathsUnit 7: Limit, Continuity and Differentiability
Let and
Then in the interval is
This question has multiple correct options
Q3MathsUnit 7: Limit, Continuity and Differentiability
is equal to
Q4MathsUnit 7: Limit, Continuity and Differentiability
If the ratio of base radius and height of a cone is 1: 2 and percentage error in radius is then the error in its volume is
Q5MathsUnit 7: Limit, Continuity and Differentiability
Function is
Q6MathsUnit 7: Limit, Continuity and Differentiability
The two curves and
Q7MathsUnit 7: Limit, Continuity and Differentiability
Equation of normal drawn to the graph of the function defined as
and at the origin is?
Q8MathsUnit 7: Limit, Continuity and Differentiability
If a monomial binomial and a trinomial are
added, then the resultant expression is
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