y = ( ax + bx )e -bwhere a and b are constants. Find derivative of y with respect to a. e-bx (-abx + (2a + b² ) x + b) e-bx (-abx? + (2a - b) x+ b) w........ ...... .. e-bx (abx +2ax - b +b) e(-abx + (2a-が)x+b)

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Q-1- Find the derivatives of the functionS 1- Y+In (xy) = |

A:

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the derivative of y with respect to x. (Hint: chain rule) y = -csc-1 24 V(8x + 92 - 9 24 (8x +…

A:

Q: Find the derivative of the function

A:

Q: - 3x Find the derivative of y with respect to x if y = e

A:

Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: 13. Find the derivative of y = ef 2e D.y'= A. y' B. y' = - C.y: cy-

A: The function is y=e2x

Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Find the derivative of the function. y =  e9x − e−9x e9x + e−9x

A:

Q: Find the derivative of y with respect to x. + 1 5) y = sec-16x + -54 A) – 1 + (6x + 1)2 54 C) (6x +…

A:

Q: What is the derivative of y e2x –1

A:

Q: Find the derivative of the function

A:

Q: Find the derivatives of the functions in Exercise

A:

Q: Given y = (ax? + bx )e -bx where a and b are constants. Find derivative of y with respect to x. e-bx…

A:

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

A:

Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: Find derivatives of the functions defined as follows: y =(3x3 - 4x)e-5x

A: Given:          y=3x3-4xe-5x Let:  y=f(x)=3x3-4xe-5x Product rule of differentiation is given by…

Q: (x) =√1/x^3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose x and y are variables (y is a function of x) that satisfy the equation x2- y³=12. What is…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the derivatives for each function. 1) y=e^(2x+x^(2))  2) y=2xe^(x^(2)) 3) y=ln((x+1)(2x+1))…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

A:

Q: Find the derivative of the function. y = (x + 1)²(x² + 1) ~ 3 ...... - 2(x + 1)(2x² – 3x – 1) OA.…

A: Given:- y = (x+1)2(x2+1)-3 To find :- Derivative ol y

Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

A:

Q: What is the derivative of y = (x2 + 1) e-3 ? O y = (x² +1) (e-3) + xe² - 3 O y = (x² +1) (e*-3) +…

A: It is required to find the derivative of the given function.

Q: Find the derivative of the function. x3 y -1 -2x3+3x2 y's (x- 1)2 y'= 2x-3x2 (x-1)2 y'= 2x3+ 332 (x-…

A:

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: Find the derivative of the given function at a given number 1. y=3x - 2 at f'(1) 2. y=x² -1 at f'(2)…

A: Find the derivatives at points. 1. y=3x2-2 for f'1. Apply derivative law: u±v' =u'±v'.…

Q: find the derivative of y=1/b²[a+bx-aln(a+bx) where a and b are constants

A: Derivative of function

Q: h(x) = In (2x-2)+(x² +1)e³x-6 %D Calculate the derivative at x=2, that is h'(2)=

A: calculate the derivative as shown below: h'x=ddxln2x-2+x2+1e3x-6…

Q: Find the first derivative of y with respect to x (y') of the given function. y = ((U^2 - 1) / (U^2…

A:

Q: Suppose x and y are variables (y is a function of x) that satisfy the equation x2-y= 12, What is…

A: Given that: x2-y3=12

Q: Find the derivatives of the functions y = (1 + 2x)e-2x

A:

Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find the first derivatives of y = x3 – x + 2 e*

A:

Q: 25. Find the derivative of the function. y = (1+ 3x)e - 3x O A. - 9e - 3x 3x В. - 3(1 + 3х)е - 3x -…

A:

Q: Calculate the derivative of y = /x+ If the Chain Rule only needs to be used once, which functions…

A:

Q: x°y- xy? +x² + y² = 0 %3D

A: Use d(UV) = VdU+ UdV

Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

A:

Q: y = (4x + 3)/ln[2x2 + 3x - 5] y = 3( e2x + e-2x )(x2 - 4

A:

Q: 3. Find the derivative of y = | (12 +1) dt.

A:

Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: Find the derivatives of the functions y = 1/(x2 - 1) (x2 + x + 1)

A: