Câu hỏi
Find the slope of the tangent to y=sin(x) at x=(pi )/(4) Select one: a. (sqrt (2))/(2) b. -(sqrt (2))/(2) C. sqrt (2) d. -sqrt (2)
Giải pháp
4.2
(303 Phiếu)
Thanh Hương
thầy · Hướng dẫn 5 năm
Trả lời
a.
Giải thích
The slope of the tangent line to the function
at a particular point can be found using the derivative of the function. The derivative of
with respect to x is
. This derivative gives us the slope of the tangent line at any point x. To find the slope at
, we substitute this value into the derivative:Slope =
The cosine of
is known to be
. Therefore, the slope of the tangent to
at
is
.