Verify Rolles theorem for the following functions: $(a) \; f(x)=x^2-5x+4\;on \;[0,4]\\ (b) \; f(x)=x(x-1)^2\;on \;[0,1]\\ (c) \; f(x)=x^3-7x^2+16x-12 \;on \;[2,3]\\ (d) \; f(x)=e^x(\sin x- \cos x)\;on \;[\large\frac{\pi}{4},\frac{5 \pi}{4} ]$

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