Find of the following functions. dx (a) y = sec(6a?) (b)y = sinbx+ cos5x (c) y = cot-'(v6 – x²)

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: sin (Vx).cos (Vx) dx = ?

A:

Q: The y' of the given function is (1–2 sin? 4x) y

A:

Q: y=(sinx)cosx

A:

Q: Find the area of the region enclosed by the tangent line of the function f(x) at x = 2 and the…

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Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: y' = 2 - sin t

A: Given that y'=2-sint. solve the above differential equation as follows.

Q: Find the y'(0) when y = cos (sec²(2x))

A:

Q: y = (cos x)* 4. Differentiate the function

A: Given :  The function  y = ( cos x ) x    To find :  The derivative of   y = ( cos x ) x

Q: (væ) + log, (5x² – 3) + ex² Find the derivative of y = arc tan

A: Explanation of the solution is given below...

Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: F(X)= (x²-1) sinb), Find f(n)

A: Given thatf(x)=(x3-1)sin(x)f'(x)=ddx(x3-1)sin(x)+(x3-1)ddxsin(x)f'(x)=3x2sin(x)+(x3-1)cos(x)