Answer the following question which carries 4 marks. 13. Find the derivative of the following functions and simplify the answer: (a) [2 marks] y = 8z + Vī 37² – 4 (b) [2 marks] y = ez 31 cos z 13

Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

A:

Q: Find the derivative of the function. 8y9 y= In V+9 6.

A: The solution are next step

Q: #1 Calculate the derivative d/dt ∫sec(8x+96) dx=    sec(8t+96) [67,t] #2 On what interval is the…

A: (1) Calculate the derivative ddt∫67tsec8x+96dx (2) Find the interval in which the derivative is…

Q: r(0) = tanh-1(cos 0) + cosh(0º)

A:

Q: Let Vu + V2v + 1 = 5. Find each derivative. dv (b) du du (a) dv (c) Based on your answers to parts…

A: Given u+2v+1=5 To find  a) dudvb) dvduc) relationship between a and b

Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

A:

Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

Q: 4. Compute the derivative, r'(t), of r(t) = (2t°, v2t, 2 –t=2).

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: 25. y = V r² +1

A:

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: Find the third derivative of ƒ (z) = ¥9z +I. f" (2) =

A: Answer is mentioned below

Q: I the second derivative of the function F(t) = 7tsin(º). ver F"(1) =

A:

Q: The 2nd derivative of y = 24r is A 2*+2 In(8) B 2tr+4 In(4) © 24r+4 In(2)

A: Given that: y=24x

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the derivative of the following functions without skipping steps y = - cos ? (3x) + ctg² (5x³)…

A:

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: Compute forward difference approximations for the first derivative of the function, y =[ eln(x)2, at…

A:

Q: 5. (y/)² – 2yy' = y² (e* – 1) %3D

A: This is a differential equation of order 1 and degree 2. We usually solve the differential equation…

Q: a) Find the derivative of the following function 3) y= 4sin 1+ vĩ,

A: Chain rule of differentiation: If F(x) is a composite function f(g(x)) and if F(x) is…

Q: Compute central difference approximations for the first derivative of the function, y = e'cos(x?),…

A:

Q: Calculate the derivative of the following functions

A: Given: y=x4+cos2x5 for finding derivative of given function, we will use chain rule

Q: Answer the following question which 13. Find the derivative of the following functions and simplify…

A:

Q: Q2: - Find the second derivative of the following function at x = 2 15 marks 1) y=+ V 2) y 3 (x +)…

A:

Q: Find of the function given implicitly and evaluate the derivative at the given point. y = sin ( 8x+…

A:

Q: Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

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: I. Find the derivative of the following. Show that the applicable differentiat rules has been used.…

A:

Q: 13. Find the derivative of the following functions and simplify the answer 10z + Va y = (a) 8x2-7 et…

A:

Q: 3. find the second order derivative 어: Xt xy t y= 16 2 4.

A:

Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: Find the derivative of the function f(z,k) = z^4— 16k^3+ tanh(z) — 4 csc(k) in terms of z and k ?

A:

Q: Find the derivative of the following functions. Write your answer on a separate sheet of paper. 1. y…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 13. Find the derivative of the following functions and simplify the answer: 6x+ VE (a) 7x2 – 1 e…

A: As we know that the derivatives of:-  the Quotient Rule:  fg'=f '·g-g'·fg2 Apply the Sum/Difference…

Q: Solve for the derivative of y IMPLICITLY 22 + Væ3 + 2y= y²

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

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

A:

Q: 2. y= cos (x³ + 1)

A:

Q: 1. у %3D 4Сot (3 — 2х) |

A: Pls find the solution.

Q: Determine the derivative of the following functions. 1. y = 9x cos(2x + 3) 2. y = cos(x + y)

A: According to the question, we need to calculate the derivative of the given function.    Function 1:…

Q: Find the second derivative, dz2 where y is related to x implicitly by the equation below. 2x + 4y =…

A: we have to find derivative

Q: Find the derivative of y with respect to s. (56° +3) У3 sec

A:

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

A:

Q: Calculate the derivative of the following functions. Y=ex^(2)+1sin(x3)

A:

Q: The first derivative of the given function is y = sec?. %3D 2х + 1

A:

Q: In(x*y?) — х? +уз

A: Given equation is: lnx3y2=x2+y3 ......................... (1) We have to find d2ydx2 i.e. y".…

Q: Find the derivative of the following functions without skipping steps X- 2X -24 y = X+ 7X + 12 y =…

A: Let's find.

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: Find the derivative of the following:  R = (q^2 + 1)^4 y = ln(5t + 1)

A: We have to find derivative of given different functions ,Given different functions are

Q: Find the derivative if the following and simply to its simplest fo a) y= (4t2 – 3t + 2)-2 (x+3)* b)…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: