22 Find the first and second derivatives of the function 4 9z (6-z) dw dz d2. dz2

Q: 20. The fourth derivative of y = Jx -1 is 8 D.-은(x-1) 2 16 15 A. -(x – 1) В.- С.- 8. (X - 16 M| 00

A: This question is related to differentiation, we will use basic differention rules and results to…

Q: 5. Find the first and second derivatives of y if y is a function of r defined implicitly by x* + y*…

A:

Q: 3. Determine the derivative of y=7 with respect to x. Enter your next step here dy dx ab +- JT 00 ()

A: Given y=7

Q: 29.:* Find the derivative: h(x)= | dz z+1 a. b. C. 2+2 d. 2(x+1) e. None of the above.

A:

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

A:

Q: III. Find the indicated derivative of the following. 2. y +y x , y" 3. (x+ y)2 +(x - y)z = a , y" 4.…

A:

Q: 1 The derivative dy for the function dx ба. [ 17 17 - ()" y : 17 dy b. [ The derivative for the…

A:

Q: 1. Find the first differentiation of this equation: a. y = (Sx2-3)a b. y = (4x2 – 7)3 c. y Sx+6…

A:

Q: Find the first derivative of f(y) = y (In³ y) A. 3 (In y + 1) B. 3 (In² y) C. 3y (In² y) + In³ y D.…

A:

Q: 5x Find the equation of the tangent line of the function eb-y at the point (2, 10). (y – 5) = 5(x –…

A: WE HAVE TO FIND THE EQUATION OF THE TANGENT LINE OF GIVEN FUNCTION AT (2,10)

Q: 8 Find the derivative of the function: 1) g(x) = V1+ t² dt 2) g(x) = d 3x 1 1+4 3) g(y) = , tsin2tdt

A: Apply lebneitz integral rule

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

Q: Q. No. 5. Find the Derivative of the Given functions a) y = e"in: +2x b) f(x) = a+x

A: I have used the multiplication and division rule for derivative

Q: C. Find the third derivative of the given function/s. 3. у %3D х (2х + 1)2 4. у %3D (2х— 1)(х + 2)2

A:

Q: 16. Find the directions in which the function f(x,y)=x² +xy+ y² increase and decrease most rapidly…

A:

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

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: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

A:

Q: Find the derivative of y with respect to x. 6х + 11 y = - csc 7 O A. 42 |6x + 11|V(6x + 11)2 – 49 O…

A: ddx(cosec-1x)=-1xx2-1

Q: 27. The first derivative of y = is (4x+1) -24 b. 24 C. -6 6. (4x + 1)+ (4x + 1)+ (4x + 1)4 (4x + 1)*…

A: y=-2(4x+1)3

Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

A:

Q: Q. No. 5. Find the Derivative of the Given fur a) y= ev1n x( Inx) +2x b) f(x) = %3D a+x

A:

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: 3.3 Find the derivative. y = 3x°e* %3D y' = II

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: II. Find by implicit differentiation. dx dy 1. 2x? + 2y? =17 2. x'y - xy = a'b 1_1, 3. x y 4. 2x +…

A:

Q: Find the derivative of the function. 8. 6. y%D +-+5 3 4 dy %D dx

A: Using rules & standard formulas of derivatives

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

A:

Q: 24. Find the second derivative of y =. b. d. 25. Find the derivative of y with respect to x of the…

A:

Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

A:

Q: 2. Find the derivative of each function a) y=(2x+5)/(3x-2) b)f(s)=((square root of s)-1)/((square…

A:

Q: 5 Find 은 for y= |(*+2)°dt Choose the correct derivative below. O A. 원-40 (x*+2)기| 5 O B. - (* +2)*…

A: Given:y=∫0x t4+28 dt5

Q: (a) Find the first and second derivatives of the following function (1² + x)(x² – x + 1) f(x) = %3D…

A:

Q: Find the derivative of y: 1- y = (cos 0)▼2

A: See the details solution in below

Q: Q2. Find the derivative (the first derivative): a- Y = In (7-2 x 3 )4 Y= (3 x4+9)/(x+5) C- b- 100=…

A:

Q: Find the second derivative of the function. x4 + 6 y = x2 a²y 36 O A. = 2 - dx2 d²y 36 OB. = 2+ 4 X…

A: We have to find the second derivative of the function: y=x4+6x2 Rewriting the function,…

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: 3.9.27 Find the derivative of y with respect to x. y = sec 1(5x2 + 1). -1(5x2 +1), x > 0 dy %3D dx…

A: Please see the answer in Step 2

Q: Find the first derivative of y=x² O a. y' = r²lnz O b. y'= -2² (1+ Inz) y'=r(1-Inz) °c O d. none of…

A:

Q: functions u+2v=x^2-y^2 and 2u-v=

A: Here we have,  u+2v=x2-y2 ................................ (1)  2u-v=2xy2…

Q: Find the first and second derivatives. 1 5 r=- 2s 3s2 dr ds ds?

A: Given :  r = 12s -53s2 To find: First and second derivative of this function:

Q: Q/2: Find the derivative of the following: (a) y = (x²ln x)* (b) y = In 1-x

A: According to power rule of differentiation . According to product rule of differentiation .

Q: B) Find the derivatives of the following functions 2) y=2 Vx-1 sec Vĩ 2 (x+1)10 (2x+1)5 7) y=ttanh…

A:

Q: 6. Q/ Find the derivative of R(z) = 1 8z4

A: Given equation :