Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

Q: Find the derivative of the following function. w= log 7 (6P-1) dw dp

A: value=?

Q: find the first derivative of the function: F(x)= (1+t^2)^-3 (t-1/square root t)^4

A: From the given problem:   ft=1+t2-3t-1t4   From the product rule:   f·g'=f'·g+f·g'   So,…

Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn )  /dx = nxn-1  Here i…

Q: Q1/ Find dy/dx for the followings functions: 3 x(x+1)(x-2) 1) y = use logarithmic differentiation…

A: From the given problem:   y=xx+1x-2x2+12x+33   Now we can simply write as:   y=xx+1x-2x2+12x+313…

Q: Find the derivative of the following function w= log 7(4P - 1 dw dp

A: Given,

Q: (x² +1)° {2x+1 V3x? +4 4. Use Logarithmic Differentiation to find the derivative dy / dx for y =-

A:

Q: 5х 6a) Find the derivative using logarithmic differentiation: y = (tan x )x

A: The function is given as y=tanx5x Taking log to the both sides logy=logtanx5xlogy=5xlogtanx…

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: Q3: A) Find the derivative for the following functions: 1) y = log(x Sinx) 2) y = tan(x') 3) y = (x…

A: The derivatives of the functions:   3) y=xsinx+2 taking logarithms both sides, log y=log xsinx+2log…

Q: e +e =e**

A:

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D…

A: Solution is below

Q: Q. No. 5. Find the Derivative of the Given functions

A:

Q: Q2) find the derivative of the functions : 10 logą t (3x²-1 1) y 2) f(x) = 2x+5

A:

Q: Q3/ find the derivative D f(x) = x log5 @f(x) = (x+3) ² 2x+4 2 X

A:

Q: Find the derivative of the given exponential and logarithmic functio 11. y = e-2x²+1 12. A(x) =…

A: To find the derivative of the below functions. y=e−2x2+1 Ax=lnx2+1

Q: Q2) find the derivative of the functions : 10 log4t 1) y = t

A: Given: y=10log4tt To determine: The derivative of the given function.

Q: C) Find the derivative of y= (1+ x?)* D) Find the derivative of f(x) = log3 5x² + 1

A:

Q: 4. Which of the following functions grows at the same rate as ex as x goes to infinity? ex+3 e3x e2x…

A: We find which of the following functions grow at the same rate as ex as x goes to infinity: (1) ex+3…

Q: dy 4. [ Find the derivative for the function y = x17z da by using logarithmic differentiation.

A: y'=?

Q: 2. Find the derivative of each function. Simplify your answers completely. In10 a) y= log 2a.

A:

Q: Q3: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 Y 0.4057…

A: We have to solve the given problem.

Q: Q. Find for the following functions: - a- y = (cosx) (use logarithm differential) C- csc-/3/5x b- y…

A: we have to find the derivative of the following

Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

A: We have to find the meaning of C'(2000).

Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

A:

Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: 2. (a) Find the derivative y', given: (i) y = (x² + 1) arctan r – x; Answer: (ii) y = cosh(2x log…

A:

Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) Need lel

A:

Q: у 3 2Таn(0.5х) — х II

A:

Q: To three decimal places, the slope of the tangent to the curve f (x) = 5 log3 a +7, at x = 2 is:

A: Slope is defined is as differentation of function at given value of x.

Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

A:

Q: 8) f(x)= T+x²

A:

Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: 3. Find all possible functions with the given derivative y' =- 2

A:

Q: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

A: 1. Consider the given function, y=x20 the first derivative of the function will be,…

Q: хр 8- X 8 + X Find the derivative of y with respect to x. dy In 7 y 3 log 7 |3|

A:

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log 6 7x² 5. y = - 5 log 7…

A: Use the chain rule of differentiation to derivate y. Chain rule is used which is as follows- (i)…

Q: What is the derivative of the given logaithmic function y = log3 (2x“)? 2 In (3z) 2 A. æ In (3) 2 В.…

A: Let's find.

Q: Q3. Find the first and second derivative for the following function, giving your answer in a…

A:

Q: Find the derivative of ?, implicitly of  BY SHOWING ALL STEPS When N=11 and M=3

A: Given that lnMxy-tanNx+My=e-M-MyN And N=11 and M=3

Q: Q4/ Using Logarithmic Differentiation Find dy/ dx if y = (x2+1)(x+3)/2 (x-1) %3D

A:

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

A:

Q: y = log,((2x³ – x² + 7)(x² + 4)) %3D -

A: Please see the solution below

Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

A:

Q: Find the derivative of the following: 8 f(x) = 3 (log5 ( – 2/x7 + x))* - e(v3³n²)

A:

Q: E2-3

A:

Q: Q(2) Find the derivative of loge[cosh(x)]

A: Derivative of a function

Q: Find the second derivative of the function. s = + 9t + 5

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.