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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\lbrack0,2\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?

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