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A day full of math games & activities. Find one near you.
Find the derivative of the following functions (it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers): (px² + qx + r)/(ax + b)
Solution:
The given function is f(x) =(px² + qx + r)/(ax + b). Using the quotient rule, its derivative is,
d/dx (f(x)) = [ (ax + b) d/dx (px2 + qx + r) - (px2 + qx + r) d/dx (ax + b) ] / (px2 + qx + r)2
= [ (ax + b) (2px + q + 0) - (px2 + qx + r) (a + 0) ] / (px2 + qx + r)2
= [ 2apx2 + aqx + 2bpx + bq - apx2 - aqx - ar ] / (px2 + qx + r)2
= [apx2 + 2bpx + bq - ar] / (px2 + qx + r)2
NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 9
Find the derivative of the following functions (it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers): (px² + qx + r)/(ax + b)
Summary:
The derivative of the given function (px² + qx + r)/(ax + b) is [apx2 + 2bpx + bq - ar] / (px2 + qx + r)2
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