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Find the derivative of the following functions 'ab initio', that is, using the definition.s^2-bs+5 |
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Answer» Solution :LET `y=s^2-bs+5` Then `(dy)/(DS)=lim_(hto0)((s+H)^2-b(s+h)+5-(s^2-bs-5))/h` `=lim_(hto0)((s^2+2hs+h^2-bs-bh+5-s^2+bs-5))/h` `=lim_(hto0)(2hs-bh+h^2)/h` `=lim_(hto0){2s-b+h}=2s-b` |
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