2. An individual's oxygen level, L, at time t E [0, 1], is given by L(t) = 90+10 sin(2t). Use derivatives to find the values of the (relative) maximum and (relative) minimum oxygen level.

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: 1 The derivative of the function y = cos V at z e = is equal to 4.

A:

Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1 + ln t/1 - ln t

A:

Q: Please I want solution of question 7 with step by step. Many Thanks

A:

Q: Find the differential dy of the given function y=extanx

A:

Q: 1. Find the first derivative of the given function given. a. y = sint cos t b. y = 6 tan(2n + 3x)

A: In this question we have to find the first derivate of the given function.

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = esin t(ln t2 + 1)

A: The variable is t in this equation  So we will differentiate with respect to t   We will use the…

Q: 7. Compute the derivative of y = tan-(Kr) 1. at the point r = K

A:

Q: find the derivative (dy/dx) of the given function:  1. y= e^X sin X 2. y= (cos x)^9 3. 1/ ln(X)  4.…

A: Given,

Q: Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

A: to find the slope differentiate  the equation with respect to x .

Q: V3 8. arccos (x ++ y) + x² = 3 when x

A: we have to find out

Q: Find the differential equaiton corresponding th y= a cos(log x) +b sin(log x) where a and b are…

A: Differential equation formation

Q: Find the derivative of y with respect to the independent variable. x2 y =log 8 Sx+1 1 8x+1 O In8 x2…

A:

Q: Find the derivatives of the functions y = ln cos-1 x

A: The given function is y=lncos-1x.

Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

A:

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: 3. Find the derivative y'(x) implicitly. cos²x + cos²y = = cos (2x +2y)

A:

Q: sin (x+1) 5. Find dx g(x), given f (x) = 3x +In |- 5x and g(x)=: +Vx+5

A: Use derivative rules

Q: 4 For the function y = 1 e - dy the second order derivative dx? is

A: Given that a function and find second derivative of this function (d2y/dx2). We know that d(xn)/dx =…

Q: Find the second derivative 1. y = In(x^3+1) 2. y = Arctan (e^x)

A: Given: y=lnx3+1, y=tan-1ex

Q: find the derivative of y with respect to the givenindependent variable. y = t log3 1(e(sin t)(ln…

A:

Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: 1- Solve the second derivative forf(x, y,z) = e sinay3) əx2

A:

Q: To find the size of order that will produce a minimum cost, begin by finding the derivative of…

A: To find the value of x at which C has minimum value. C=3x+600,000x

Q: 22. Find the derivative of y = arcos(4x) with respect to x. - 4 4 - 4 - 4 В. 1-4x2 С. Vi-(4x) A. D.…

A:

Q: Find the derivative of y = tanh e^(7x)

A:

Q: What is the derivative of y esin I + cos 2x

A: Given y=esinx+cos(2x) Now we have to find derivative as shown below

Q: A-The derivative is y = In sin 0 cos 0 1+2 ln 0

A:

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Can you help me step by step with this problem?

A: To compute the derivative of the function.

Q: x3+6x-2 dx x4+6x2

A:

Q: 7) Find the derivatives in a) y = (1+e')lnt

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

Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

Q: 3. Find the derivative D(x *arctan(x)) And the integral 6x dx 9+x

A:

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

A:

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

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

Q: Can you help me with this problem step by step?

A: Given:

Q: 1. Calculate the derivative of the following function. y= V2x + 19 dx 2. Calculate the derivative of…

A:

Q: Find the derivative of y with respect to the given independent variable. e* cos' x (1) y= x+1

A:

Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

A:

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: Can you help me with this problem step by step?

A: Consider the given function:

Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.