Q2: Find Wx, Wyy, and Wxy for the function ху W = x sin(y) + y sin(x) + xy ||

Q: 0,-T <x<0 tsen x, 0sx < T 9. f(x) =

A:

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q3) find the derivative of each function: 1) y=x?sin*2x + x cos-3x 2) y? = (sin2x)* + (cos2x)* + 2xy…

A:

Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y/x) + V3 sec…

A: Let us consider the function z=f(x,y)  The derivative of the function at point P in the direction of…

Q: f(x)=x2+2  at (1,2)   Find the equation of the tangent line using delta method

A:

Q: Find f(x), the most general antiderivative of the function: f" (x) = 18x – 3 sin(x)

A: Explanation of the answer is as follows

Q: Find the directional derivative of Du" f (2,1) in the direction of: å = 31 + 4j f(x,y) = INGE12…

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Q: Let f(x)= 9 sin x/ 2 sin x + 4 cos x Then f'(x)= The equation of the tangent line to y=f(x) at a =…

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Q: Q.3 Find dx dy by theorem and also check the results by implicit differentiation if x- 1 2y +xy = 0

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Q: Q3: Find fyyx & fxyy for the function: f (x,y) = x siny + e»

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Q: Find G(1), G'(0), and G'(π/4), where G(x) =

A: Here we have;  G(x)=∫1xtant dt

Q: Find of the following by implicit differentiation. Show solution. dx y sin x =x2 – 2y • sin x+ sin y…

A: This question is related to derivative.

Q: 1- f(t) = 2t³; 3–f(t)=sinh(2t); 5-cosh (t) sin(2t);

A: Given :1. f(t)=2t33. f(t)=sinh(2t)5. cosh(t).sin(2t)

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: Q1: Determine whether the given functions are linearly indecent or dependent: Yı = sin2x, y2 = 1 and…

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Q: Q.2 Given y(x) =m x2y %3D x2+2xy 2.1 Use Implicit differentiation to evaluate 业位 at (3,1). dx

A: Since you have posted the multiplication question. I am answering the first one. Please post the…

Q: Q2\ find y' when y = Vx² • sin2x + cosh 5x %3D

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find the derivative of the given functions. 1. D;(x²cos 2x) 1 1 2. y =x + 7sin 2x 3. f(x) = sin?(5x…

A: We have to find

Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

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

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: Q1 If z is a differentiable function of x and y which satisfy equation x3 + y3 + 3 x? siny tan z = 5…

A: The detailed solution is as follows below:

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…

A:

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x =…

A:

Q: 10x Find the directional derivative of f(x,y) = at P(5,0) in the x + y direction of Q(4, –3). NOTE:…

A: Here is the solution:

Q: If sin(x) F(x)= V2+t2 dt /tan(x) and g(y)= dx . g" (4) Then is equal to V5 - 2 V3 2 V3 2 - 2 V3 V –…

A: Given :  fx=∫tanxsinx2+t2dt Differentiating both sides Using Leibnitz Rule, we get…

Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

A:

Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

Q: 1. Find the first derivative of y with respect to x (y') of the given functi 1. x³y-xy² +x² +y? = 0…

A: To find the first derivative of y using the given equation.

Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x - (y²/x) + V3 sec…

A:

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

A:

Q: Find the general antiderivative of the given function. sin( x/7π)   and  sec2(5x) + sec2 (x/3)

A: GIVEN DATA : Function sinx7π and sec25x+sec2x3        TO FIND : Anti derivative of the function…

Q: : (a) Evaluate S cosx sinx V1 – sin+x_dx. (b) Evaluate S V1 – x² dx.

A:

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

A: Given:

Q: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

A:

Q: 4. Find all second order derivatives for the following functions. (a) f(x, y) = 2x2 + 3xy + 2y?, (b)…

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Q: Q3|A: Find ý if 1-y = cot vx +2 2- y = tan v+ Vtan x 3- y = tan x+ * cot v

A:

Q: Find 0ƒ/0y as a function if ƒ(x, y) = y sin xy.

A: fx, y=ysinxy

Q: 13. F(x) = sin t dt 20

A: We need to definite integral properties  also integral of sinx is -cosx

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

A:

Q: 3 Q2: a) By using the function: f(x) = Vx2+5 Find: 1-The equation for the tangent line at x 2 2- The…

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Q: 21: dz 22: Find the derivative of f(y,x) = xe?y + cos(3yx) at a point (1,0,7)in the direction of V =…

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Q: 4. a) Find the following derivatives using differentiation rules. d dx 5 2)* d ii) Vx + dx d²y b) If…

A: 4 First we will see differentiation rules.…

Q: Q2) Find the derivative of the function at Po in the directi g(x, y) = x – (y²/x) + V3 sec-' (2xy),…

A:

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

A: The detailed solution is as follows below:

Q: Q2/ Find analytic function f (z)=+iy, where o=-3 tan (+e.

A: Analytic function

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

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

Q: Q2: Find Wx, Wyy, and Wxy for the function W = x sin(y) + y sin(x) + xy

A: We have to find partial derivatives of W.

Q: dw b) If w = (x + tanx). (Vx – 1), and x = tan (cost) find dt

A: