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Find the derivative of the following functions 'ab initio', that is, using the definition.x^2+1 |
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Answer» SOLUTION :LET `y=x^2+1` Then `dy/dx=lim_(deltaxto0)([(x+DELTAX)^2+1]-[x^2+1])/(deltax)` `=lim_(deltaxto0)(x^2+2xcdot deltax+deltax^2-x^2)/(deltax)` `=lim_(deltaxto0)(2X+deltax)=2x` |
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