differentiate x²+sin x+1/x² with respect to x
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Step-by-step explanation:
Given, x² + sin x+1/x²
differentiating w.r.t. x we get,
= d/dx(x²) + d/dx (sin x+1/x²)
= 2x + cos x+1/x² × {x².1 - (x+1).2x/x⁴)}
= 2x + cos x+1/x² × {x² - 2x² -2x/x⁴}
= 2x + cos x+1/x² × (-x² -2x/ x⁴)
= 2x - cos x+1/x² × (x²+2x/x⁴) (ans)
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