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Home/continuity and differentiability

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lallan20
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lallan20
Asked: January 29, 2025In: Class 12 Maths

If y = tan⁻¹ (e²ˣ), then dy/dx is equal to 

Continuity and Differentiability are fundamental concepts in calculus. Continuity ensures a function has no breaks or jumps, making it smooth. Differentiability means a function has a defined derivative, allowing for tangent calculations. A differentiable function is always continuous but not ...

class 12 mathscontinuity and differentiability
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lallan20
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lallan20
Asked: January 29, 2025In: Class 12 Maths

The function f(x) = [x], where [x] is the greatest integer function that is less than or equal to x, is continuous at 

An integer is a whole number that can be positive, negative, or zero, without fractions or decimals. It includes numbers like -3, 0, 7, and 42. Integers are used in counting, ordering, and algebra. They follow arithmetic operations and are ...

class 12 mathscontinuity and differentiabilityinteger
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