5. y = 5sec(2x4) O a. y' = 40x³sec(2x4) tan(2x*) O b. y' = –40x³ sec(2x+) tan(2x*) O c. y' = 40x³ sec(8x³) tan(8x³) d. y' O d. = 40x³ sec(2x*)+ tan(2x*)

Q: give an example of derivative

A: We have to give an example of derivative

Q: 2 sin? 11. y = 3x 2x2 12. y = cos°V2x – 1 3. 13. у %3D Vtan(х?)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2 The Power rule:…

Q: Differentiate the function. u = Vi + 4V7 u' =

A: Given, u=t7+4t7 This can be written as, u=t17+4(t7)12 u=t17+4t72

Q: State the original function. Given the function below, sketch a graph of its derivative on the same…

A: Original function is  f(x) = 12sinπx-π2+12

Q: 4 f(x) = Vx*+2 %3D x*-2

A:

Q: 13. y = sin x+cos² x 14. y = tan r+sec? x

A: Given: 13.y= sin2x+cos2x 14.y=tan2x+sec2x

Q: Sketch a graph given two sign charts of a function and it's derivative.

A: The graph of a function can be drawn using the sign charts of the function. The sign charts show the…

Q: Find G'(w) if G(w) = G'(W) = . 5 9w4 + +74 /√w.

A:

Q: Determine whether each of the following statements is true or false, and explain why The derivative…

A: Given-  The derivative gives the instantaneous rate of change of a function. To determine- Whether…

Q: Sketch the graph of the function

A: The function: y=ex

Q: Find the derivative. Show all steps and simplify fully.

A: Given,          y=5x47-5x3

Q: find the slope of the furetion at Quen point. use the derivative feature of a graphing utility to…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Determine whether each of the following statements is true or false, and explain why. The…

A: Answer: False

Q: 1 (a) y = Va2 -- csc(2x) + 3 +1' (b) y = sin x

A: Compute the derivatives of the following functions (a) x2/3-cosec(2x)+1/π (b)( (x2+1)/sinx)3

Q: Differentiate the function. u = Vi + 4Vt3 u' =

A: The given function is,