differentiate (ax+b) from the first principle

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y = x^{2}

x^{x}

x > 0.

Differentiate each the following from first principles :

$(i) e^{- x}$

$(i i) e^{3 x}$

$(i i i) e^{a x + b}$

$(i v) x e^{x}$

$(v) x^{2} e^{x}$

$(v i) e^{x^{2} + 1}$

$(v i i) e^{\sqrt{2 x}}$

$(v i i i) e^{\sqrt{a x + b}}$

$(i x) a^{\sqrt{x}}$

$(x) 3^{x^{2}}$

e^{x}

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