q = V2r – 1²

Q: Find the derivatives of the functions in Exercise y = (1 + t^2) cot-1 2t

A: The given function is y=1+t2cot-12t.

Q: Find the derivative of the function. 8) q = V15r - 17

A: Please refer the attached image for complete solution. THANK YOU.

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

A: The solution are next step

Q: Find the derivatives of the functions in Exercis

A: We have, f(x)=7+x sec x First, we write the above function in power form. fx=7+x sec x1/2

Q: find the derivative of V(t)=260e^(0.6298t

A:

Q: Find the derivative of h(t) = 15€ + - VE + 6 %3D

A:

Q: Find the derivative of the function rsin(x) 1- t2 dt. 1+t4 g(x) /1

A: Explanation of the answer is as follows

Q: Find the derivatives of the functions in Exercise

A: Given function is w=1z1.4+πz. To find the derivative of the functions.Solution: Power rule of…

Q: Use derivatives to find two positive numbers a and b such that: a^2 +b^2 = 1 and 2a+3b is as…

A:

Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

Q: find the indicated derivatives. dz/dwif z = 1√w2 - 1

A: We need to find the derivative of the given z-function

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: Q5:- Find the first order derivative of each of the following functions: c) ysecx = x(secy) %3D

A:

Q: V. Find the third derivative q = tsecv0.2t" +1 Where r is the last digit of your university ID.

A: It is given that: qt=tsec0.2t4+1 Let u=0.2t4+1 qt=tsecu Differentiate w.r.t t to get:…

Q: Take a look at the derivative of the integral (4t² – 2t + 7) dt. d - dx -4

A: topic - derivative and integration

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 derivatives of the functions in Exercis

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: + (z), V1– 2z y =1- cos (z) + /1 – 2z

A: Given : y = xcos-1x+1-2x

Q: Find the indicated derivative. dp for p q² + 2 5q – 3 %3D dq dp dq II

A:

Q: Find the derivative of the function. rsin(x) In(2 + 9v) dv Jcos(x) y'(x) =

A:

Q: Find the derivatives of the functions in Exercis

A: We need to find the derivative of the function, y=5-2x-3+182x+14

Q: Evaluate the derivative of the function. y%3Dsec(6 In 8x) -1(6 In 8x) dy %D dx

A: The objective is to find the derivative of given function

Q: Calculate the derivative by expanding or simplifying the function. s(t) = 1 - 2(7t) / (7t)^1/2

A: Given function st=1-27t7t The given function can be written as: st=17t-2·7t7t=17t-2t=17t-12-2t12…

Q: Use differentials to approximate V36.1. 3.

A: Consider y = root x.Let take x = 36 and delta x = 0.1.Find delta y as follows.

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

A:

Q: Let f(4) = 1 and f'(4) = 5. Calculate the following derivative. %3D d f(Vx) dx %D

A:

Q: Apply the 1t derivative property to : 1) f(t) = e-2tsin5t 2) f(t) = = cost sint 3) f(t) = e²tsin2t…

A: Solution

Q: Find the derivative of the function. r sin(x) y = Jcos(x) In(4 + 9v) dv y'(x) = %3D

A:

Q: Find the derivative of the function. -1 y = (3t – 1)(6t – 5) dy dt II

A:

Q: Find the derivatives of the functions in Exercise

A: Explanation: Given that,  w=(2x-7)-1(x+5)     Formula used: According to the product rule of…

Q: V 92) Inl Cosn

A: Derivative of hyperbolic function

Q: Evaluate the derivative of e22.1.png acos(b/x) f(x) = x2 if a = 73 and b = 0.7 at x = 5 using FDA…

A:

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x3 + 3y2 – xy = 17cosy %3D

A:

Q: Find the derivative of F (x) = S (t3 – t)° dt. O 5( – t)* (3t2 – 1) - O (2 - 2) O 5(x³ – 2)* O 3t2 –…

A:

Q: Evaluate the derivative dt -for the function y = 4vī cosh vĩ – sinh(t²).

A:

Q: Find the indicated derivative.dp/dqfor p =q2 + 2/4q-2

A: Given a function in p in terms of q as shown below. We need to compute dp/dq.Here we use (u/v) rule…

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

A:

Q: y = v3 – 2x

A: Giveny=3-2xTo find:The derive of the given equation using delta…

Q: 4. Show in two ways that the function f(z) = exp(z²2) is entire. What is its derivative? Ans. f'(z)…

A:

Q: Find the derivative of f(x)= (Inx Oa 6x(Inx Ob. 4 inx Oc 12(in a Od 24(inx

A:

Q: Evaluate the derivative So (3t² – 2t +1) dt. -

A:

Q: Compute the derivative of g(æ) = e dt. 22 -2xe -2xe O -2re

A:

Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: Find the second derivative of vx - Jy= 4 when x = 1. 2 1 -1 -2

A:

Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

A:

Q: Use derivatives to find two positive numbers a and b such that a^(2)+b^(2)=1 and such that 2a+3b is…

A: Solved below

Q: Calculate the differential of the following function. Z = 2x³ex? + In(x+y²)

A:

Q: The derivative of y with respect to given a = 1 is Onone of the choices O y = yx³-1 O V = 0 = = 9 *…

A: I have stated the used formula in the solution

Q: Compute the first, second, and third derivatives of r(t) = 9ti + 5 In(t)j + 5e-3tk. first derivative…

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Chain rule:…

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: