275.If u, v, w are differentiable function ofx, then show that in two ways - first by repeated application of product rule, second by logarithmic differentiation.
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276.
Differentiate (x2-5x+8)(x3+7x+ 9) in three ways mentioned below : (i) by using product rule. (ii) by expanding the product to obtain a single polynomial. (iii) by logarithmic differentiation. Also verify that three answers so obtained are the same.
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277.Use Chain Rule to differentiate sin (x2) w.r.t.x.
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278.Use Chain Rule to differentiate w.r.t.x: tan (2 x + 3)
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279.Use Chain Rule to differentiate w.r.t.x: sin (cos x2)