Given h (x) = V¤ – 3x find h' (3). Round your answer to the nearest hundredths (two digits after the decimal).

Q: Зx + log dy find dx If y = 4 — Зх -

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Q: -sinh(x) at x = 0 is dx21 Answer:

A: Derivative of the function

Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

Q: -х ху dy dx is approximately equal to 0 ex The value of

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: E) INTEGRAL : 9.) S(5t3 + 2t? – 5t – 50)dt 10.) S(3x2 + 2x + 500)dx

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Q: I = | In(ax + 1) dx, for a > 0

A: Find the integration of I

Q: Q1- Find dy / dx for the following functions : e0 -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

A: It is given that:…

Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

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Q: Find the indicated derivative. Find OY for y2 = 8x – 7. dx dy dx II

A: topic - derivatives

Q: Find dy/dx by implicit differentiation. x² + 3xy + y2 = 4

A: In an implicit equation different variables (here x and y) will be intermixed.

Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

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Q: What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer…

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Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…

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Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.

Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: Find the total derivative dy dw. Y=3x+2w+5z x=4 In(w*) z=e43x³

A: Given, y=3x+2w+5z2x=4ln(w2)z=e-z+3x-3

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: Q1- Find dy / dx for the following functions : el -2 2.8ln2 Y= 4 * sinh 9x * Inxy sino 3 log2 2

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Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

A: I supposed to do only first question as our company guideline. Please repost other question as next…

Q: S 3p? tan p dp

A: To integrate.

Q: Q1- Find dy / dx for the following functions: -2 2.8ln2 eo Y= 4 5 sinh 9x * Inxy sino 3 log2 2

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Q: 大 If x < 0, which of the following has the derivative 1 dy (1 – a)Va - 2a =? dx |3|

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Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: Suppose that a company’s marginal revenue from the manufacture and sale of eggbeaters is dr dx = 2 -…

A: To Determine:  How much money should the company expect from a production run of x = 3 thousand…

Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

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Q: Find dx dy for the equation y =cosh (2x)tanh x3)+.

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Q: What is the first derivative of s(r) = log, sin z 712+8z+2 Provide your answer below: s'(x) =]

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Q: dy y = x3 e2. Show that dx 1. Consider. (3x2 + 2x4)eʻ and then find the second dy derivative dz2

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Q: d y' of y= In(tanh2

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Q: O = 4xy x³ + y³

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Q: Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4

A: Consider the given function.

Q: Find the antiderivative of the given derivative. dp dx ex+ 2e-2x (ex - e- 2x) 4

A: Given dpdx = ex + 2e-2xex - e-2x4

Q: To use differentials to approximate V8. You would use x = and dx

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Q: are

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: Find dy/dx by implicit differentiation. x6+y7=45

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Q: Find the antiderivative of the given derivative. ds 14(4? – 1)3 dt S =

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Q: What is the value of the differential if f(x) = x + 2x - x = 2 and dx = 0.63. Round your answer to…

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Q: Sind dy forys(x) dx 3517X

A: y=(xx)3sin x

Q: Find dy/dx by implicit differentiation. 7x + y = 5 + x?y²

A: Here we have to perform implicit differentiation.

Q: find the derivative of y with respect to the givenindependent variable.

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Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…