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How do you find the derivative of a function?

How to find the derivative of a function?

  • Answer:

    Well there are specific formulae for specific functions but to work out any derivative you use f '(x)=lim ( ( f(x+h)-f(h) ) /h) h→0 So you put the function in there with the constant h in, and you have to rearrange everything in a way that means you can cancel out the h at the bottom of the fraction, then you set h=0 to get rid of the other 'h's and whatever you have left is the derivate of the function

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Depend on the function... there are several formulas rules and properties. All the 18 formulas are find using the definition of derivative function... that is the limit; f´(x) = limt(h->o) (f(x+h) - f(x)) /h .... for example if the function is y = x^n , applying the definition we can get the formula: y = x^n ==> y´ = nx^(n-1). Now, if we know the formula, cannot use the limit... for example the derivative of y = x^7 is y´= 7x^6 OK!

vahucel

f '(a)=lim (f(a+h)-f(a))/h x→h

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