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If y = t(x) be a differentiable function ᵾ x € R, then which of the following is always true?
- a)d2y/dx2 – (dy/dx)3 = 0
- b)d2y/dx2 + (dy/dx)3 d2x/dy2 = 0
- c)d2y/dx2 – (dx/dy)3 = 0
- d)d2y/dx2 + (dy/dx)3 = 0
Correct answer is option 'B'. Can you explain this answer?
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If y = t(x) be a differentiable function x € R, then which of th...
If y = t(x) is a differentiable function, it means that the rate of change of y with respect to x exists at every point in the domain of the function. In other words, the function has a derivative.
The derivative of y = t(x) with respect to x is denoted as dy/dx or t'(x). It represents the instantaneous rate of change of y with respect to x at any given point.
The derivative can be interpreted geometrically as the slope of the tangent line to the graph of the function at a specific point. Algebraically, it can be calculated using various differentiation rules and techniques.
The differentiability of a function is an important property that allows us to analyze its behavior and make predictions about its values and rates of change.
The derivative of y = t(x) with respect to x is denoted as dy/dx or t'(x). It represents the instantaneous rate of change of y with respect to x at any given point.
The derivative can be interpreted geometrically as the slope of the tangent line to the graph of the function at a specific point. Algebraically, it can be calculated using various differentiation rules and techniques.
The differentiability of a function is an important property that allows us to analyze its behavior and make predictions about its values and rates of change.
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If y = t(x) be a differentiable function x € R, then which of th...
(dy/dx)= (dx/dy)-1
So, d2y/dx2 = – (dx/dy)-2 d/dx(dx/dy)
= – (dy/dx)2(d2x/dy2)(dy/dx)
⇒ d2y/dx2 + (dy/dx)3 d2x/dy2 = 0
So, d2y/dx2 = – (dx/dy)-2 d/dx(dx/dy)
= – (dy/dx)2(d2x/dy2)(dy/dx)
⇒ d2y/dx2 + (dy/dx)3 d2x/dy2 = 0
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If y = t(x) be a differentiable function x € R, then which of the following is always true?a)d2y/dx2 – (dy/dx)3 = 0b)d2y/dx2 + (dy/dx)3 d2x/dy2 = 0c)d2y/dx2 – (dx/dy)3 = 0d)d2y/dx2 + (dy/dx)3 = 0Correct answer is option 'B'. Can you explain this answer?
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If y = t(x) be a differentiable function x € R, then which of the following is always true?a)d2y/dx2 – (dy/dx)3 = 0b)d2y/dx2 + (dy/dx)3 d2x/dy2 = 0c)d2y/dx2 – (dx/dy)3 = 0d)d2y/dx2 + (dy/dx)3 = 0Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If y = t(x) be a differentiable function x € R, then which of the following is always true?a)d2y/dx2 – (dy/dx)3 = 0b)d2y/dx2 + (dy/dx)3 d2x/dy2 = 0c)d2y/dx2 – (dx/dy)3 = 0d)d2y/dx2 + (dy/dx)3 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If y = t(x) be a differentiable function x € R, then which of the following is always true?a)d2y/dx2 – (dy/dx)3 = 0b)d2y/dx2 + (dy/dx)3 d2x/dy2 = 0c)d2y/dx2 – (dx/dy)3 = 0d)d2y/dx2 + (dy/dx)3 = 0Correct answer is option 'B'. Can you explain this answer?.
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