If y = tan - 1 a x - b b x + a , then y ' =

Question

If y = tan - 1 a x - b b x + a , then y ' =, 1 1 + x 2 + a 2 a 2 + b 2, 1 1 + x 2, 1 1 + a x - b b x + a 2, b x + a 1 + ( a x - b ) 2

MARKS App · Accepted Answer

y = tan - 1 a x - b b x + a d y d x = 1 1 + a x - b b x + a 2 × b x + a a - a x - b b b x + a 2 d y d x = 1 1 + a x - b b x + a 2 × a 2 + b 2 b x + a 2 d y d x = a 2 + b 2 b 2 x 2 + a 2 + 2 a b x + a 2 x 2 + b 2 - 2 a b x = a 2 + b 2 x 2 a 2 + b 2 + a 2 + b 2 d y d x = 1 x 2 + 1

Search any question & find its solution

Looking for more such questions to practice?