Find the first derivative of y with respect to x (y') of the given function using rules for differentiation or by the formula. 1. y = 2 Vx -9 x² – 4 /x³ +10 x* x? 2. У- V4-x?

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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

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Q: 7. Suppose that x and y are related by the equation x 2−4y 2=5 and use implicit differentiation…

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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: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: find the derivative of y with respect to x, t, or u,as appropriate.13. y = ln (t/2) 14. y = ln…

A: Given question is to find the derivative of the function , which can be solved by using the chain…

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: what is the second derivative of y(t)=e^-2t and y(t)=e^-3t

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

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = t (ln t)2

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

A: The given equation,

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

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

A: The given function is y=1+ln t1-ln t

Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

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Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2 1. Z= 1+x? ; d²z/dx? 2. Y = (3x + 2)* ;y"…

A: Given function is: y=3x3+24 We have to calculate d2ydx2 or y''. Now we see,…

Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 2. Find the derivative of (x + 1) /x. 3. Given the equation: y = (eln )?, find y'.

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Q: find the derivative of y with respect to x, t, or u,as appropriate.57. y = ln (3te^-t)…

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

Q: find the derivative of y with respect to the given independent variable  1. y = 3-x    2. y = 2(s2)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: What is the first derivative of the expression (xy)^x = e? Hint: this involves implicit…

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Q: find the derivative of y with respect to the appropriatevariable. y = (θ2 + 2θ) tanh-1 (θ + 1)

A: The given function is y=θ2+2θ tanh-1θ+1. Obtain the derivative as follows.

Q: 7. Find the nth derivative of y = 1//x.

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

Q: (a) By using the chain rule and the derivative = (xl) if x>0 (-1, if x< O' dx find - (Ix – x|)DvxE…

A: Given : ddx(x)=1 ,     if x&gt;0-1 , if x&lt;0 To find : ddx(x3-x) , where x∈(-1,1) and x≠0

Q: Find the derivative of the function y, below. y = 2x(ln x + ln 5) – 9x + v2 dy dz ||

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Q: 1) Find the derivative of y with reference to < Y 블+름 2y Y

A: Here is the solution:

Q: Compute the derivative of h(sin(x)) at x = assuming that h' (u)|=0,5 = 14. lu=0. Use symbolic…

A: Given:   Function : h(sin(x))    x = π/6 h'(u)| x = 0.5  = 14

Q: Can i get help step by step?

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Q: If y- sin x and yn) means "nth derivative of y with respect to x", what is the smallest posilive…

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: Can i get help step by step?

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Q: 1) Find the derivative. Simplify where possible. y = x tanh-1x + In/1 – x²

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

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Q: (a) By using the chain rule and the derivative (1, if x>0 4 (1xl) ={-1, if x<0 %3D find (lx-x) vxE…

A: Use the chain rule to differentiate the above given function and than use the given derivative of…

Q: 3. F(x) = " In(x) (4t + et) dt. Find the derivative of F(x).

A: Given, F(x)=∫1ln(x)(4t+et)dt To find : Derivative of F(x) By using the second fundamental theorem of…

Q: (x² +SJ° In 14-X つ. dr

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Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the derivative of the function y = tanh−1√x

A: To find the derivative of the given function.

Q: 10.Suppose that x and y are related by the equation 5x 2−4y 2=2 and use implicit differentiation…

A: The given equation is 5x2-4y2=2

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

Q: 11 with respect to x is The derivative of y = cos - 1

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