How do you find the slope of the graph $f (x) = 4 sin x - x$ $f(x)=4sinx-x$ at (0,0)?

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Answer 1 · 2018-04-02T08:26:30

$3$ $3$

the slope of a curve is calculate by

$f'(x)$

$f(x)=4sinx-x$

$f'(x)=4cosx-1$

the slope/gradient is therefore

$f'(0)=4cos0-1=4-1=3$

How do you find the slope of the graph f(x)=4sinx-xf(x)=4sinx−xf(x)=4sinx-x at (0,0)?