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3. Techniques of Differentiation
3. Techniques of Differentiation / Derivatives of Trig Functions / Problem 8
Problem 8

Consider the function f(x)=cosxf\(\left\)(x\(\right\))=\(\cos\) x on the interval [0,2π]\(\left\]\lbrack\)0,2\(\pi\[\right\]\rbrack\). Using the difference quotient D(x)=f(x+0.02)−f(x)0.02D\(\left\)(x\(\right\))=\(\frac{f\left(x+0.02\right)-f\left(x\right)}{0.02}\), what does the graph of D(x)D\(\left\)(x\(\right\)) resemble?