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Differentiate... - Class 12 PDF Download

y = log(sec + tan x)
  • a)
    sec x tan x – 1
  • b)
    sec x
  • c)
    sec x tan x + 1
  • d)
    tan x
Correct answer is option 'B'. Can you explain this answer?

Ref: https://edurev.in/question/503574/y-log-sec-tan-x-a-sec-x-tan-x-1b-sec-xc-sec-x-tan-x-1d-tan-xCorrect-answer-is-option-B-Can-you-e


Imagedifferentiate with respect to x and also do inner derivative of trignometric functions...u will get the answer ....i hv done it...hv a look at it...hope u got it...
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FAQs on Differentiate... - Class 12

1. What is the significance of differentiation in Class 12?
Ans. Differentiation is a fundamental concept in mathematics that has significant applications in various fields such as physics, economics, and engineering. It helps in determining rates of change, finding maximum and minimum values of functions, and analyzing the behavior of functions.
2. How is differentiation used in real-life scenarios?
Ans. Differentiation is used in real-life scenarios to analyze and solve problems involving change. For example, it can be used to determine the speed of a moving object, the rate of growth of a population, or the cost function of a business to maximize profits.
3. What are the basic rules of differentiation in Class 12?
Ans. In Class 12, the basic rules of differentiation include the power rule, product rule, quotient rule, and chain rule. The power rule states that the derivative of a function raised to a power is equal to the power multiplied by the function raised to the power minus one.
4. How can differentiation be used to find the maximum and minimum values of a function?
Ans. To find the maximum and minimum values of a function using differentiation, we first find the derivative of the function and set it equal to zero. We then solve this equation to find the critical points of the function. By evaluating the function at these critical points and the endpoints of the interval, we can determine the maximum and minimum values.
5. Can differentiation be used to analyze the behavior of functions?
Ans. Yes, differentiation can be used to analyze the behavior of functions. By studying the sign of the derivative, we can determine where a function is increasing or decreasing. The second derivative helps identify points of inflection and concavity of the function. This information is valuable in understanding the overall behavior and shape of the function.
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