How is differentiation done from first principles.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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To find the derivative of a function f(x) from first principles the result of the value of the function f(x+h) and f(x) is required. We have to divide the value of (f(x+h) - f(x)) by h and find the limit while h tends to 0.

f'(x) = `lim_(h->0) (f(x+h) - f(x))/h` from first principles.