x is a function of g. find dx/dg if given glnx = tanx2 - eg

Q: Find the first and second derivatives of the function. g(t) = 2 cos t - 3sin t

A: We find the first derivative

Q: Find the derivative of the given function. 275 y= 22+4 e -3x %3D

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Q: find two possible functions ff given the second- or third-order derivatives f'''(x)=cosx

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Q: Compute the derivative: d 4 dx x2 5 x=1 The derivative is:

A: The solution of the problem is given in the next step.

Q: е. f(t)=esint

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Q: Зах + b Find the derivative of h(x) Assume a, b and c are | 5c constants. h'(x) = %3D

A: The objective is to find the derivative.

Q: 1 1 In?x Find the function whose derivative is Inx 1 A x2 1 B xlnx C) xlnx D Inx 1/x

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Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Let R be a variable and r a constant. Compute the derivative. d :(1º . R?) dR

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Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: 3. Find the derivative of the function, and do your best to simplify the result. [P372]| arcsin 3r…

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Q: 3. Find the first derivative for the following function. Do not simplify . (c) y = 2 * csc TX +…

A: Given: c)  y= 2πx cos(πx )+ln(tan(x)).    d) y=x arcsin x+1-x2=x sin-1x+1-x2 We have to find the…

Q: Q. Find the second order derivatives of the following functions f (x). 3x-x i) Tan 1-3x

A: Derivative of function

Q: Compute the derivatives: d/dx [ f (x)g (x)]

A: Derivative of function of type uv is given by, duvdx=v.dudx+u.dvdx

Q: Q3/ Sketch the graph of f(x) Q4/ By using the definition of the derivative, find dy/dx for y tan x.

A: (3) The graph for x2x+1 is, At x=0 then f(x)=0. At x=-2 then f(x)=-1 At x=1, f(x)=0.5 At x=2,…

Q: Q /Choose the appropriate derivative for this function y = (x + 1)²¯*

A: Given equation:y = (x+1)2-x required:1) dydxSol:y = (x+1)2-x →taking logarithms on both sides we…

Q: Find the anti-derivative as a function (use the insert math tool to input your answer) S xVx-3 dx Xv

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Q: Evaluate the function: dx ¤(1+x?)

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Q: Find the derivative: h(x)= 3 tan*(e²*)

A: Question based on derivatives application.

Q: t2 5. x= t-1 y = 12-1

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Q: Write the composite function in the form f(g(x)) .[Identify the inner function  u =g(x) and the…

A: Given function is Let us consider Then,

Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

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Q: find the second order derivatives of function f(X)  exsinxcos2

A: To find the second derivative of the below function. fx=exsinxcos2x

Q: f(x) = sec(x2 – 1) + tan(x2 – 1)] e(æ+æ)

A: Given function - f(x) = secx2-1+tanx2-1ex2+xDifferentiating on both sides with respect to x -f'(x) =…

Q: d ) Find the derivative: dx rcos(z) V1 - t2dt

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Q: Compute the derivative: d x4 – 4 dx \ x2 – 5 lz=D3 The derivative is:

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Q: d By using the definition of the derivative, find the for: dx f(x) = Vx

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Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: Write the composite function in the form f(g(x)) .[Identify the inner function  u =g(x) and the…

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Q: find all possible functions with the givenderivative. y' = x

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Q: 18. g"(x) for g(x) = -x + 2r² – 3x + 9 %3D

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Q: Find exact value(s) for x such that 3e" - e' = 0.

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Q: Find the derivative 4 f(x)=/9sin? C~)+ 4 cos?(x) %3D

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: g(t) = cosh-1 t3

A: The objective of the question is determine the derivative of the given function.

Q: Write the composite function in the form f(g(x)) .[Identify the inner function  u =g(x) and the…

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

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Q: Differentiate the function.

A: Consider the following equation: y=e-2tcos4t Differentiate y with respect to t: dydt=ddte-2tcos4t…

Q: Use the definition of the derivative to find df/dx for the function f(x)=23

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Anti-derivative is basically the reciprocal of the differentiation:   Given:                 y=x2…

Q: Q: Find the derivative dy of the function: dx 3x – 4x? + 5+ Vr – 2Vx5 - y = x2

A: dydx3x3-4x2+5+x3-2x5x2=ddx3x3-4x2+5+x3-2x5·x2-3x3-4x2+5+x3-2x5·ddxx2x22=3·3x2-2·52x52-1-4·2x+13x13-1…

Q: Consider the function f (x) = -2x ln x a. Find f' (x) b. Find the equation of the line tangent to…

A: Note: According to our expert guidelines only first three subparts are to be answered.kindly repost…

Q: Q1) Find the derivative a) f(x) = arctan (e-2x) b) f(x) = [arcsin (2²)]³ C) f(x) = tan (lnx) + 52²

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Q: 1. What is dx [the function is f(x) = 1]?

A: To evaluate:

Q: A function f(x) is defined by f(x) ce Find the value of the constant e for (x) dx=1.

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Q: Find the second derivative of the function. f(t) = t?e-5t f"(t)

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Q: Jse implicit differentiation to solve for dx a. x? - y? = 1 b. ху—х +2у В

A: Implicit differentiation: using implicit differentiation you can find the derivative of the function…

Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

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Q: Find f"(x). 5, f(x) = / (x² + 7) ª Tip: This question askes for second derivative. Mu

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Q: h(x)=83x3+32x2+120x+9 Given the function above, use the First Derivative Test to find the local…

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