Question 23 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): (x^2 + 1) cos x
Class X1 - Maths -Limits and Derivatives Page 318
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y = (x^2 + 1) cos x
Applying product rule
differentiate w.r.t x
dy/dx = (x^2+1) d/dx(cosx) + cosxd/dx(x^2+1)
dy/dx = (x^2+!)(-sinx)+cosx(2x)
=> 2xcosx-sinx(x^2+!)
Applying product rule
differentiate w.r.t x
dy/dx = (x^2+1) d/dx(cosx) + cosxd/dx(x^2+1)
dy/dx = (x^2+!)(-sinx)+cosx(2x)
=> 2xcosx-sinx(x^2+!)
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