y = e = r² arctan x.

Q: 1. tan? x dx 2. | cot2 x dx

A: 1.∫tan2x dx2.∫cot2x dx

Q: Find  the slope of the curve y=cos((pi tanx)/6) at the point where x=pi/2.

A: given,  y=cos(pi tanx)6  at x=π2

Q: dy Find dx from the equation y = sin[cos xy].

A: Explanation of the answer is as follows

Q: e sinh 2x dx

A: The given integral,       ∫e-xsinh(2x) dx

Q: Find dy/dx in terms of x and y if x = 10√/y. X

A:

Q: Graph the Cosecant Function y = csc x and the Secant Function y = sec x

A: To graph: y = csc x y= sec x

Q: y= sin (0.25) + sinh (2).

A: According to the question, we need to evaluate the function: y = sin-1(0.25) + sinh(2)

Q: Please help with du/dx and dy/dx?

A:

Q: Find dy/dx    y = 5 tan6x

A: Given Data: Equation: y=5tan6x The first derivative of the tangent function is, ddxtanx=sec2x…

Q: y = cot (4x) dy dx Find dy dx =

A:

Q: If y = arcsin(- 5x + 1), dy dr

A:

Q: If y = arcsin(4x + 5), dy dx =

A:

Q: 7. (x+ ycot) dy – ydx = 0. 8. (xy + y²)dx = (x² + xy + y²)dy. 0. %3D | %3D

A: We have to solve the following differential equation

Q: d/dx (Vx)=1/vx.2 a. True b. False

A: using the differentiation  formula,       d/dx (xn )=nxn-1

Q: If y = arcsin(-2-1),

A:

Q: = cos x and y = sec x, -37/2sx5 3m/2 41. y

A:

Q: The derivative du forthe funchion 4=cot vi4-x

A: