Find a (1, 1). SOLUT mun lstotad aid The gr f(x). YOUR TURN 7 Find an equa- tion of the curve whose tangent line has slope f'(x) = 3x2 + 4 and passes through the point (1, -2). Зx1/2 %3| Theref 15.1 WARM-UP EXERCISES Find the derivative of the following functions W1. f(x) = 5x + 6Vx (Sec. 12.1) %3D

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be…

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Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

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Q: Use the first derivative test to find the location of all local extrema in the interval for the…

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Q: (x-y) atfy (1, 1) a+y

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Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Find the derivative of the function y = coth−1 (e2x)

A:

Q: Determine the derivative of the following functions. 1. y = tanh (8x – 3) 2. y = 2x sinh(6x – 5)

A: Here we will use standard formulas for derivative of inverse hyperbolic functions, product rule of…

Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Find the derivative of the function by the limit process. h(s) = −2 (square root of x)

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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: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: Find the derivative of coth (gx) 3 tue fuchion y =

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Q: Find the derivative of each function. 으(3e17/3) = dt 응(-29/4) = dt (7) = Consider the following…

A: To find the derivative of : z=3t173-2t94-t12+7

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

A:

Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be…

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Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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Q: For a given equation, f(x) = xe* Compute the derivative at x = 2 using forward, backward and…

A: Given the function fx=xex.   The forward difference formula is given by f'a=fa+h-fah. The backward…

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: A company wants to accumulate Tk. 100000 to purchase replacement machinery 8 years from now to…

A: Solution is given below:

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Find the derivative of the following functions using the long method.(general process) x=2y/y-1

A: Here I explained how to find dx/dy.

Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

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Q: Find the derivative of the function y = cosh−1(3x)

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Q: Compute the first-order Derivative for each of the following functions at the specified location and…

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

Q: Find the derivative of the following functions using the long method.(general process) Y=√t

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Q: 2 Find the derivative of y = arctan(x´ + 3)

A: We have to find the derivative of the given function.

Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

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Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

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Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

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Q: find the derivative of y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be…

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Q: Find the derivative of the function toy do not nad to Sumplity your answer y= e* In (2)

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Q: Find the derivative of the function. simply if possible y = arccos(e2x)

A: We have to find the derivative of the function: y=cos-1e2x We know the formula of derivatives,…

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Find the derivative of the function.

A: Given

Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: 1 erivative of x²+2

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Q: The derivative of x at X = 1 is to I Frue or false 2

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Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be…

A: Given that the power used by the function,   Differentiate with respect to “t”

Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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

A: To find the derivative of the given function.

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Given: fx=xx+1 We want to find a linearization at a suitably chosen integer near a at which the…