27. Let g be a function such that g(y) > 0 for all y. Which of the following could be a slope field for the differential equation dy dx = (x² - 1)8 (y)? (A) (C) /// -\\\\\//\ -2/ // +11+x \\/2 //--- --// // (B) y \\\-///// - \\ | \ \\/ // // -\\\ \ \\/ // / //\ \\ \ \ \ - / / / / / -\\\ \\\/ // // - \ \ \ / / / | \| | x -2\ -/// ///-\\ \-/// \\-/// *x

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: 10. (a) State the Fundamental Theorem of Calculus. -x sin t %3D (b) Let J(x) = S*. Evaluate: (i)…

A: Fundamental theorem of calculus

Q: = In (2x) + cos (6x)

A:

Q: Suppose h is a function that is differentiable for all real numbers x, h(2) = 7, and h'(2) =-2. What…

A: Final Answer: The value of dxd​[xh(x)​] at x=2 is 4−11​ Option B is the correct answer. B) 4−11​…

Q: 9. Let f(x) = cos 2x. Calculate f(50) (x), the 50th derivative of f(x).

A:

Q: 1. Using Cauchy-Riemann equations find the derivative (i.ef'(2)) of (a) f(z) = 2². (b) f(z) = e².

A: As per our guidelines, we are entitled to answer only one question at a time. So, please re-post the…

Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

A:

Q: Find the derivative of the following functions: (Do not simplify) A.f(z) =E B. g (포) %3Dz In(5x? +9)…

A:

Q: Find the derivative of the function. 2 m= Choose the correct answer below. (2)0) - (n?) (2n) m' OB.…

A:

Q: Find the derivative of y = /sin (7x + In(5x)) %3D

A: Here we have to find derivative of given function.