Q: 13 Class Work Find f'(x) if f (x) = In Vx + vInx. %3D

Q: Find   dy/dx by implicit differentiation. x3 + y3 + 8y − 10 = 0

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Q: (Tlog3(cosh z) + csch x) tanh x dx

A: Here we have to integrate the given Integral

Q: Find dy/dx by implicit differentiation.   1) x3 + x4y4 + y7 = 5   2) x^2 / x+y = y2 + 7

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Q: Q4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction.

A: The given function is fx,y=xey+cosxy at the point 2,0. Find the derivative of the function. Here we…

Q: x²y+y°x=-2 .2. X.

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Q: dy for the implicit function x' +xy - y² = -1 dx at the point (1, 2). Find

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Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: 9) Where is the function h(t) = (t + 5)"3 differentiable?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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

A: The given function is                                 y=x2+33

Q: x3 for y = Differentiate. Find dx x-1

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Q: dy =2xy with y(2) = 1. dx Find a function y = f(x) that satisfies

A: To find a function y=f(x) that satisfies dy/dx=2xy with y(2)=1

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: dy when x dx If f is a differentiable function and y = sin (f (x²)) , what is = 3?

A: Given F is differentiable functionand Y=sinFx2we find dydx when x=3

Q: dy for the function y= Find dx (x-1)(x-2)* (x-3)' at @x = 4.

A:

Q: Given that f(x, y) = xy sin(x + y).Find all second derivative fxx,fxy, fyy, fyx.Show all your steps.

A: Given: fx,y=xysinx+y

Q: 5) y>10 (3v-1) (1+5w)

A:

Q: 5. dy for the function y dz The derivative 5

A: Given, Y = ( X/5 + 5/X)5 Formula used: d[f(u(X)] / dx = f'(X). d u / dx

Q: Find dy/dx for f(x)=(Inx)x^2

A: Given:y=fx=lnxx2We need to find: dydx

Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: Q2: Find the derivative of f(z,x) = xe* + cos(2zx?) at a point (0,2,1)in the direction of V = i - 3j…

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Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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Q: dy Find dæ for implicit function x³ sin y – 3y4 = e4 + 6

A: Explanation and solutions is given below....

Q: (B): The Trapezoidal rule for f(x)dx 5 and Midpoint rule f(x)dx = 4 .What value does Simpsons rule…

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Q: [ to y²-Xy flo dy 2

A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: of of For the function f(x,y) = 4x* - 3y' - 8, find and dx of %3D dx of

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Q: 2x Using the definition of derivative, find Given y = dy %3D x+8 dx

A: dy/dx from definition of derivative is given below

Q: Q:: Find for the following functions: - dx 1- y = tan/2\2x+ 7 (x²+x)(x²-x+1) 2- y =

A:

Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

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: dy Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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Q: (f) y = e* In(tanh(x))

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Q: 3) Find the slope of the curve defined by f (x) = x° sin x at x = T. 4) Differentiate g(x) = e* .

A: The slope of a curve y=f(x)  at a given point x=a is the value of dydx  at the given point x=a. So…

Q: Chose only two: dy 1. Find for y + In x2 y2 -cos 2x* = 27 dx 2x+1 2. Evaluate: f dx -4

A: We use chain rule and product rule while differentiating the given equation.  Also for integration,…

Q: Q2\A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Given that,

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: Q4. Find an antiderivative F(x) of the function f(x) = 7 sinx / 13 + cosx , such that F(0) = 1.

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Q: iven: ƒ (x) = Ax? + Bx where A 6 and B= 5 ind: f' (x) using LONG METHOD DERIVATIVES.

A: We can find the answer as below

Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

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Q: dy Find dx for implicit function ete + 3 x° cos y + 3y² = e4* + 3

A: Given that: x3.cosy+3y2=e4x+3

Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: Find the relative extrema of f(x) = (x − 1) cosh x − sinh x.

A: Maxima and minima: f(x)=(x-1)coshx-sinhx f'(x)=(x-1)sinhx+coshx-coshx f'(x)=(x-1)sinhx…

Q: dy Find the function y whose derivative - is 8.x+ 10 and y has a value of -2 when x is 1 dx y =

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Q: Q4/ Evaluate (xy + e") dy dx using Three point formula in x,y-axis and two point formula in z axis

A: You must have an basic idea of double integral to solve this.

Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

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Q: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx

Q: Q5: If y= tant and x = cost then at t= is (not that these functions in N) dx a) -1 b)0 c) d) I e)…

A: