Find the slope of the tangent to the graph of the function g (x) = cosx; x0 = -p / 6
| April 18, 2021 | education
The slope k of the tangent to the graph of the function at the point x0 is equal to the value of the derivative of the function at this point. Find the derivative:
(g (x)) ‘= (cos (x))’ = -sin (x).
Substitute the value x0 = -π / 6.
k = (g (-π / 6) ‘= -sin (- π / 2) = – (- √3 / 2) = √3 / 2.
Answer: The slope is √3 / 2.
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