Differentiate y = ex sin x with respect to x.
Limits and Derivatives
Original Khojo Papers practice question — not from a past board paper.
dy/dx = −7/(x − 3)2
No citable source has been recorded for this record. Treat it as practice material, not as fact.
By the quotient rule the derivative is [2(x − 3) − (2x + 1)] ÷ (x − 3)2 = (2x − 6 − 2x − 1)/(x − 3)2.
From the same topic and chapter, at a similar level.
Differentiate y = ex sin x with respect to x.
Limits and Derivatives
Differentiate y = x2 sin x with respect to x.
Limits and Derivatives
Find the derivative of x3 from first principles.
Limits and Derivatives
Evaluate the limit of (1 − cos x)/x2 as x approaches 0.
Limits and Derivatives
Differentiate y = x4 − 3x2 + 7 with respect to x.
Limits and Derivatives
Evaluate the limit of (x2 − 4)/(x − 2) as x approaches 2.
Limits and Derivatives