Differentiate each of the following from first principles:(i) e−x(ii – InterviewSolution

1.	Differentiate each of the following from first principles:(i) e−x(ii) e3x(iii) eax + b(iv) x ex(v) − x(vi) (−x)−1(vii) sin (x + 1)(viii) cosx-π8(ix) x sin x(x) x cos x(xi) sin (2x − 3)
Answer» Differentiate each of the following from first principles: (i) e⁻^x (ii) e^3x (iii) e^ax^{+ b} (iv) x e^x (v) − x (vi) (−x)⁻¹ (vii) sin (x + 1) (viii) $\cos (x - \frac{π}{8})$ (ix) x sin x (x) x cos x (xi) sin (2x − 3)

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