L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

Q: Find partial derivative, zg and Zy for the following function: e 2x²+3y Z =

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Q: Find the differential of the function T = uw / 1+ uvw

A: Our Aim is to find the differential of the function:-T=uw1+uvw-(i)

Q: Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

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Q: Use differentials to approximate the change in y = f(x) from x = 4 to x = 4.1 for the function, f(x)…

A: It is given that,

Q: Find the first derivative of the following functions with respect to x: a) y= Inx3 b) y = ln (÷) c)…

A: We can make it easier for you.

Q: 9) Where is the function ht) = (t+ 5) differentiable?

A: Given         h(t)= t+51/3

Q: 4. Compute the derivative, r'(t), of r(t) = (2t°, v2t, 2 –t=2).

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

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Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

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Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: B)ls w = z²1² analytical function or not?

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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 differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

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

A: To determine the derivative of given function.

Q: Q1J Use the Chain rule to find the derivative of w=xy + In z with re spect to v if x v/u, y u+v, z…

A: The chain rule is used to calculate the derivatives of the function. The chain rule for a function…

Q: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

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Q: Find the derivative of the function. rsin(x) In(2 + 9v) dv Jcos(x) y'(x) =

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Q: (b) Find and simplify the derivative of the function pln(z) e dt. f(x) = |

A: we need to find the derivative of given definite integral

Q: Let y = f(x), where f(x) = 6x2 + 3. Find the differential of the function. dy =

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Q: Find the derivative of y with respect to x if y = e¯1X. dy dx II

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Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

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Q: If f(x,y) = y2 ex + 3 ln (xy), find fxyy (1,1). fxyy (1,1) = ?

A:

Q: Consider the function f (x, y) = x²y³ – 3xy³. Compute the value of the derivative frvy at the point…

A: Given function is f(x,y) =  x2y3 - 3xy3 we have to find fxyy at the point (2,1).

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

Q: Find the derivative of the following function. y =x° (3- In x®) dy dx II

A: Given function is y=x53-lnx5. To find the derivative of the function. Solution: Power rule of…

Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Evaluate the function: S de x(x-2) -dx (x–1)³

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Q: y=In(x dy -

A: Given : y = ln1xx-5

Q: Let f(x,y) = x³y? The third derivative fexy

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Let y = f(x), where f(x) = x4 − 5x. Find the differential of the function.

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Q: Find the derivative of the function.

A: Given function is, F(x)=∫0e2xln(t+1)dt

Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: Find the second derivative f"(x) for f(r) = e(z+2)*.

A: Given: fx=ex+24 for finding second derivative of given function we first take log and find first…

Q: Find the differential d3y of the function y=1/√x.

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Q: Find the differential of the given function y = xcosx

A: To differentiate

Q: D-the derivative is y = In In (VW) 1 +

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

Q: For the function y= 11 e 16 the second order derivative dz O lle - 32z3 O lle +32r O 12le -32z O 1le…

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Q: 4. Show in two ways that the function f(z) = exp(z²2) is entire. What is its derivative? Ans. f'(z)…

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Q: Find the second differential of the function y=x2cos2x.

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Q: Find the derivative of y with re Ind the (x* In x) y = dy dx II

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Q: 3. Find the derivative of f(x, y, z) = z2 + ye" at (In 2, 2, 1/2) in the direction in which the…

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Q: . Let y =sqrtx Find the differential dy

A: To find, y=x To find the differential dy.

Q: I. Find the derivative of y with respect to x. Use the given relation in its implicit form. d?u 3.…

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Q: Find the differential of the function. T =V 9 + uvw

A: Given T = v9+uvw

Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

Q: Compute the derivatives of the given functions. a) f(x) = 3 ln x. f'(x) = b) g(x) = In(x*). g(x) =

A: Given f(x)=3lnx now we need to calculate the derivative of f(x) f'(x)=ddx(3lnx)=3ddx(lnx) deriative…