3. Find the derivative of y with respect to x in the following functions : 18x'y (3x' – 2)' u? a) y= u = 3x - 2 and (ans.: u +1 аnd и%3D x? — 3 + 4x) 3 b) у%3DVu + 2u (ans.: 2

Q: Find the derivative of y with respect to x. y = In (tan 1(5x)) dy dx

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Q: Q2 find the derivative of the following: 1) y = 2stn²(5x) ,2) y = Inx'n cosh 5x ,3) xsin¬14y = y…

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Q: Find the derivative of y with respect to the independent variable. y = 9cos zO O A. - 19cos AO In 9…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = In(cos(In 0)) %3D

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Q: What is the derivative of y = 34? a. y (4)(3**) b. y = 4x3 c. y = (4)(3*) In(3) d. y' = In(4x) + 34*…

A: We can answer all three subparts as below.

Q: Find the partial derivative of the given In[y? sec(x²y²)].

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Q: Find the derivative of the y with respect to x. Y=on (13x)+x dy/dx

A: Given  Y=13x+xdydx To find derivative of y with respect to x

Q: Find the derivative of the following functions: 5. y = tanh 2x +coth 3x ans. y' = sech²2x – 2csch²3x…

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Q: Calculate the partial derivative using implicit differentiation for the given figure below

A: Given1w2+x2+1w2+y2=1To find ∂w∂y at (x,y,w)=(1,1,1)

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

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Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: Find the derivative of y with respect to X, t, or 0, as appropriate. Inx y=5

A: Given: y=ln xx5 So, the derivative of y with respect to x is: dydx=ddxln xx5 According to the…

Q: The derivative of y= sech-(Inx)+e sinh- (3x) equals Select one: +3esinh (3x) cosh(3x) y' = xlnxv…

A: The derivative of y=sech-1(lnx)+esinh-1(3x) is to be calculated by chain rule. The derivative of…

Q: Find the derivative of y with respect to 0. y = In (8 cos 2e) dy %3D de

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Q: Find the partial derivative dz for the function z = cos(x³ +y²).

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Q: Find partial derivative of dx for the function f(x.y) given below exp 2x. siny .(at the point (In2,…

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Q: Find the derivative of y with respect to x. y= sec -1(3x? + 1), x>0 dy dx

A: Given that: y=sec-1(3x2+1), x>0

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: Get the first order derivative of the function x + sin(y – 2x) - 1= 0 - 2 1 a. y' = cos(y-2x) 1 b.…

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Q: Find the derivatives of the functions y = sin-1√1 - u2, 0 < u < 1

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Q: sin 0 cos 0 1+ 2 In e y = In

A: Consider the function:y=lnsin θ cos θ1+2 ln θ   =lnsin 2θ21+2 ln θ…

Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…

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Q: y=In(x dy -

A: Given : y = ln1xx-5

Q: Find the derivative of y with respect to the appropriate variable. y= cosh 2x+2 O A. V(4x + 9)(x +…

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Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: _6. What is the derivative of f(x) = (5 – x²)²? а. 2(5- х2) b. 10 – 2x2 C. 4x3 – 20x d.(5 - x?)(5 -…

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Q: find the derivative of y with respect to x, t, or θ, as appropriate.

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Q: What is the first derivative of y=tanh(0³+30)? A y'=3(0²+1)sech (0²+30) dy =3(0²+ 1)sech²(0²+ 30) B…

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Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: Find the first-order partial derivative with respect to x of f(x,y) = e5x siny.

A: To find the first-order partial derivative with respect to x, given function, fx,y=e5x sin y

Q: Determine the derivative of the function defined by h(x, y) = Arctan () + v3Arcsin () %3D at the…

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Q: B: Use the Chain Rule to find the derivative of f(x,y) xy with respect to (t) along the path y =…

A: Solution:-

Q: Find the derivative of y with respect to z. y In (sinh 3z) y -

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Q: Find the derivative of the following functions: = Arccos 4x -4 ans. y' = V1-16x2 4. y = Arcsec(sec…

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Q: 1 By considering the secant through the points where x = 1.2 and x = instantaneous rate of change of…

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Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx

Q: Find the derivative of y with respect to x. y = (x° In x)3 dy %3D dx

A:

Q: 1. y = cos2(2x − 1)

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of y with respect to x. 6 y = (x³ In x) %3D dy dx II

A: Please see the below picture for detailed solution.

Q: Find the derivative of y = Arccot (tan(esecx)) in its simplest form %3D A. y' = e Sec*secxtanx B. y'…

A: This question is related to differentiation, we will solve it using given information.

Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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Q: ind the derivative of y with respect to x. y =-cos-16x + 7° 6 6. 1 + (6x + 7)2 81 - (6x + 7)2 O 4.…

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Q: 2- Find the derivative of y with respect to the Exercises 1-3. = 6 sinh 1- 1 sinh (2x + 1) 2- In…

A: These are the hyperbolic function so use standard form of derivative of hyperbolic functions.

Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

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Q: Find the derivative of y with respect to x. 1 y = In x/x+5 dy dx II

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Q: Find the derivative of y with respect to s. y3Dsec -1 (7s° + 5) dy ds

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Q: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

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Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector