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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)

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)

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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 .