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Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
Respected, I expect the image is clear to you. hope to get the answer soon. THANK YOU. Respected,I expect the image is clear to you.hope to get the answer soon.THANK YOU.
dear student, the ques is VERY easy. the only thing is that the calcs are a bit lengthy. apart from that the ques is elementary.y= (x+sqrt(x^2 – 1))^15 + (x – sqrt(x^2 – 1))^15 diff wrt xdy/dx= y’ = 15(x+sqrt(x^2 – 1))^14*(1+x/sqrt(x^2 – 1)) + 15(x – sqrt(x^2 – 1))^14*(1 – x/sqrt(x^2 – 1))or sqrt(x^2 – 1)*y’= 15((x+sqrt(x^2 – 1))^15 – (x – sqrt(x^2 – 1))^15)note that we have used chain rule and other std results to diff the fndiff again both sides wrt xsqrt(x^2 – 1)*y” + xy’/sqrt(x^2 – 1) = 15(15(x+sqrt(x^2 – 1))^14*(1+x/sqrt(x^2 – 1)) – 15(x – sqrt(x^2 – 1))^14*(1 – x/sqrt(x^2 – 1))multiply both sides by sqrt(x^2 – 1)(x^2 – 1)y” + xy’ = 15(15((x+sqrt(x^2 – 1))^15 + (x – sqrt(x^2 – 1))^15)= 225yhence, (x^2 – 1)y” + xy’ = 225yoption DKINDLY APPROVE :))
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