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

##### 1 Answer
Apr 2, 2018

$3$

#### Explanation:

the slope of a curve is calculate by

$f ' \left(x\right)$

$f \left(x\right) = 4 \sin x - x$

$f ' \left(x\right) = 4 \cos x - 1$

the slope/gradient is therefore

$f ' \left(0\right) = 4 \cos 0 - 1 = 4 - 1 = 3$