In other words, f'(x) drops to zero when , and becomes -1 by the time x reaches pi (see the picture). Therefore, f'(x) is a function which starts at 1 when x=0, decreases to 0 when , drops to -1 when , rises back to 0 when , and so on. This is precisely what the cosine function does, so it should be no surprise that f'(x) = cos x. Similar reasoning shows why it is reasonable that, when f(x)=cos x, f'(x)=-sin x.
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A signature (/ËsÉªÉ¡nÉtÊÉr/; from Latin: signare, to sign) is a handwritten (and often stylized) depiction of someone's name, nickname, or even a simple X or other mark that a person writes on documents as a proof of identity and intent. The writer of a signature is a signatory or signer. Similar to a handwritten signature, a signature work describes the work as readily identifying its creator. A signature may be confused with an autograph, which is chiefly an artistic signature.