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Monotonocity part in Ml khanna is in chapters like derivatives,differentiations etc
Dear Student, Please comlete your question. Thanks.
Dear Student, Since |u| = sqrt(u 2 ). Therefore replace the modules values using this relation and try to solve it. Thanks.
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Hint: Try to solve this two equations. If you get the real values of x,y. Then you can say that this two curves touch each other. Thanks.
Hint: Frst find the value of d 2 y/dt 2 and d 2 x/dt 2 then divide these two values to get d 2 y/dx 2 . Then finally put t = 0. Thanks.
the graph of sin -1 x is a curve with order pairs (0,0),(-1,1.5),(1,1.5)................so on
You must add more information to the answer by providing why the slope is =1/-1 and whose slope. Let me add some more values to the answer. Any line inclined equally with axes makes angle of 45...
Its minimum value (-1).
HInt: 1. If we diffirenciate a cubic equation, we get the quadratic equation. Not for cubic polynomial to be increasing function, its derivative should be positive, i.e. quadratic polynomial obtained...
HInt: Try to assume arcsin(x) = z and then try to differenciate it. Also please remember that z is also the function of x. Thanks.
The question can be expressed as “ differentiate (x arcsinx wrt x)/ (differentiate arcsinx wrt x)
These self-study packages are actually free to the enrolled students!! The test papers and video solutions given are brilliant and super helpful :D
Yes and its value will be 0
x 3 is strictly increasing function and f I (x) = 3 x 2 , is always greater than zero hence its increasing always hence in it incresing in (-infinity,infinity) all the best plz approve
refer Tata Mcgrawl Hills Maths book which has all the solutions and some jee main papers ar solved
Derivate w.r.t x will be 2px + q -r/(ax 2 ).
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