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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #2 · Calculus · Derivatives

(d)

Suppose $f (x) = x^{2}$ . Compute each ratio and set $h = 0$ :

(a) $\frac{f ( x + h ) - f ( x )}{h}$

(b) $\frac{f ( x + 5 h ) - f ( x )}{5 h}$

(c) $\frac{f ( x + h ) - f ( x - h )}{2 h}$

(d) $\frac{f ( x + 1 ) - f ( x )}{h}$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #2

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