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Verify Rolles theorem for each of the ...

Verify Rolles theorem for each of the following functions on the indicated intervals: `f(x)=x(x+3)e^(-x/2)on[-3,0]` `f(x)=e^x(sinx-cosx)on[pi/4,(5pi)/4]`

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RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
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  10. Verify Rolle's theorem for each of the following functions on indicate...

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  13. Differentiate xy = siny with respect to x

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  14. Differentiate y = xsiny with respect to x

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  15. Differentiate ycosx = x with respect to x

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  16. Verify Rolles theorem for the function f(x)=x^2-5x+6 on the interva...

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  17. Verify Rolles theorem for the function f(x)=x(x-3)^2,\ 0lt=xlt=3 .

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