Find the derivative of f (x) = 1+ er e* A. ex+1 C.E (e*+1)² E. None of these В. ex+1 D. (1+ e*)² Find the derivative of f(x) = 5x cos ( 1- x). O P(x) = 5sin(1 - x) + 5xcos(1 - x) O F(x) = -5xsin(1 - x) + 5cos(1 - x) None of these O F(x) = 5cos(1 -x) + 5xsin(1 - x) O F(x) = 5xcos(1 - x) - 5sin(1 - x) Find the derivative f(x) = cos² x. -2sin x -cos 2x None of these 2sinx 2cos x sin x

Q: Which of the following is the derivative of the function g(0) = cos(0) – sin(0)? Ogʻ(0) = cos(0) +…

A: Derivative.

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

A: ANSWER :

Q: 74. Which of the following represents the nth derivative of y=(1-x)/(x-2) ? A. (-1)^(n+1)…

A: To find: nth derivative

Q: 2. Find the derivative of the following functions and write the down the inner and outer functions…

A: Solution: 2.(a) fx=2x5-4ex

Q: Let z = a + ib and f(x) = exp (zæ), then find the 1st and 2nd derivative of f(x).

A: Given: f(x)=ezxwhere,z=a+ib

Q: Find the derivative of each function include all steps

A: Question explained below : Explanation:ANSWER : ( e ) ​​   ANSWER : ( f ) ​​   ANSWER : ( g ) ​​…

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

A:

Q: 11690100 7 -.) f(x) = -x² + 6x + log3(12) 7 cos(8x) i.) f (x) = x5+3

A:

Q: Find the derivative of the function. G'(x) = G(x)=√1-169x² arccos(13x) -168x V1-169x arccos (13x) -…

A: We need to find out the derivative of the function.

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: By considering the first two derivatives of g(x), show for x > 0: ex>1+x-x²

A: According to question,Given function,g(x) = ex - 1 - x + x2

Q: 1-Find the first derivative of the following function f( x) 5 cos (10x) + x' – 2x – 6x+ 10 For x=2…

A:

Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: Consider the following. z = x* + 1 - x - 7x2 Let u(x) = x and v(x) = 1 – x - 7x2. Find each…

A: topic - derivative of a function

Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: p(x) = (e³x+5 + n)³. q(x) = In(5e* + 6 tan x). u(x) = e*In(x)-x+2.

A:

Q: 4. Find all derivatives of f(x) = x*, where k is some unknown natural number.

A: f(x) = xk and we need to find all the derivatives of f(x)

Q: 1- If x? + 2xy = y², then 2 is: dx (e) x+1 (a) y-x x+y (c) (d) —х (b) 2x + 2y ソーズ

A:

Q: -4 (b) If u find and expressing all derivatives in their simplest 3xy form. Hence, Show that

A: The solution is given as