Question #e6979

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Answer 1 · 2018-02-16T06:15:42

$d/dx{sinx+cosx}=d/dx{sinx}+d/dx{cosx}=cosx-sinx$ .

Answer 2 · 2018-02-16T06:23:51

$cos(x)-sin(x)$

$d/dx(sin(x)+cos(x))$

An important rule to know is that

$d/dx(x+y)=d/dx(x)+d/dx(y)$

The derivative of $sin(x)$ is $cos(x)$ , while the derivative of $cos(x)$ is $-sin(x)$ .

$:.d/dx(sin(x)+cos(x))=d/dx(sin(x))+d/dx(cos(x))$

$=cos(x)-sin(x)$

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