Misc 10 - Find derivative: a/x4 - b/x4 + cos x - Class 11 CBSE - Derivatives by formula - sin & cos

  1. Chapter 13 Class 11 Limits and Derivatives
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Misc 10 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): a﷮x4﷯ – b﷮x4﷯ + cos x Let f(x) = a﷮x4﷯ – b﷮x4﷯ + cos x f(x) = ax – 4 – bx – 2 + cos x f’(x) = (ax – 4 – bx – 2 + cos x)’ = (ax – 4)’ – (bx – 2)’ + (cos x)’ = a . (– 4)x – 4 – 1 – b . (– 2)x – 2 – 1 + ( – sin x) = – 4ax – 5 + 2bx – 3 – sin x = − 𝟒𝒂﷮ 𝒙﷮𝟓﷯﷯ + 𝟐𝒃﷮ 𝒙﷮𝟑﷯﷯ – sin x

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