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Math Help - Differentiate with respect to the variable

  1. #1
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    Differentiate with respect to the variable

    Differentiate each of the following with respect to the variable in each case.

    (i) y=8x^{-2}+\frac{5}{x^2}+\frac{7x^3}{3}-6x

    (ii) y=7e^{-2t}.cos5t

    (iii)  y=ln(2x^2-3x+4)
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  2. #2
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    Use (x^n)'=nx^{n-1}

    [f(x)\cdot{g(x)}]^\prime=f'(x)\cdot{g}(x)+f(x)\cdot{g'(x)}

    Also

    (e^u)'=e^u\cdot{u'}

    (\ln{u})'=\frac1{u}\cdot{u'}

    and (\cos{kx})'=-k\sin{kx}
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