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Find the derivative of the following function (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): ax4=bx2+cosx - Mathematics

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प्रश्न

Find the derivative of the following function (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/x^4 = b/x^2 + cos x`

योग
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उत्तर

Let f(x) = `a/x^4 - b/x^2 + cos x`

= `d/dx (a/x^4) - d/dx (b/x^2) + d/dx (cos x)`

= `a d/dx (x^(-4)) - b d/dx (x^(-2)) + d/dx (cos x)`

= `a (-4x^(-5)) - b(-2 x^-3) + (-sin x)`        `[d/dx (x^n) = nx^(n - 1) and d/dx (cos x) = -sin x]`

= `(-4a)/x^5 + (2b)/x^3 - sin x`

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अध्याय 12: Limits and Derivatives - Miscellaneous Exercise [पृष्ठ २५३]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 12 Limits and Derivatives
Miscellaneous Exercise | Q 10. | पृष्ठ २५३

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