6. At what value(s) of x (0 < x < ½) does the graph of y = x − 2 sin x have a horizontal tangent line?

Q: 2. y = 5 sin x cos x + 4 csc x

A:

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: y = sin x cos6x x CO

A: Introduction :

Q: Differentiate the following function y sec(0) (0 tan(0))

A: The given function is,

Q: y = [x + (x + sin²x)'] h) y=x+ Final Answer

A: Given query is to find the derivative.

Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

A:

Q: Estimate tan (0.5) using the tangent line to y = tan(x) at x = π .

A: The slope of the tangent if dy/dx at x=π So the slope=1