Home › AP EAPCET (Engineering) › Mathematics › Differentiation › The derivative of f at a is the limit of what ex…
The derivative of f at a is the limit of what expression as h tends to 0?
A[f(a + h) + f(a)]/h
B[f(a) - f(h)]/a
C[f(a + h) - f(a)]·h
D[f(a + h) - f(a)]/h
Answer & Solution
Correct answer: D. [f(a + h) - f(a)]/h
The derivative is the limit of the difference quotient [f(a + h) - f(a)]/h.
Related questions
The derivative of ln x at x = 2 isFor x not equal to 0, d/dx of x^-2 equalsIf f is differentiable, then d/dx of 5f(x) equalsLogarithmic differentiation is useful mainly because logarithmsThe function y = x^(1/3), inverse of x^3, is not differentiable atThe discrete counterpart of differentiation isWhich derivative notation is named after Gottfried Leibniz?Differentiating a polynomial again and again eventually gives