Determine the second-order partial derivative for the indicated function f(c,y) = cos(2x² – 3y?) axdyla-3)

Q: Q2//A/ Find the derivatives of the following fiunctions: 1+x -4 1- y 2- y = cscx cot.x + 3- y =eV4x…

A: 1. y = (1+x-4√x)/√x 2. y = cscx cotx + 1/x2 3. y= e√(4x^2+1)

Q: Evaluate the derivative (r1(t) × r2(t)) where r1(t) = and r2(t) =. (Use symbolic notation and…

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Q: Find the derivative of the function. y = (8x4 -5x²+8) 4 dy To find write y as a function of u so…

A: y=(8x4-5x2+8)4 d dx(xn)=nxn-1ddx(constant)=0

Q: #1 y= x³ + 4x − 15 at x = 0

A: As per policy, we are allowed to answer only one questions at a time. So, I am answering the first…

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: Find the derivative of y with respect to s. y= sec 1(7s° + 4)

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Q: given the following information about its derivative: f'(x) -2 f'(x) = 0 at x = -2 -10

A: We will use relation between derivative  and character of the graph to draw

Q: The derivative of the function f(x) = elan(=) + Ve is

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Q: Can you explain why you left the partial derivative on the left as is, but on the right you changed…

A: This is the method to solve the exact differential equation. I attach that method and solve it again…

Q: 3. Find the derivative of y with respect to x in the followin u? a) у3 u = 3x' - 2 and u' + 1 b)…

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Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.

Q: Find the partial derivative dz for the function z = cos(x³ +y²).

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Q: X.

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Q: 8. ylnx – x In y = c - 9. y = ln (coth x) 10. y = sec³Vx

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Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

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Q: 2 3 4 5 6 x) 5 6 3 2 9 (x) 4 -1 1 2 ompute -3 نه نه -2 2 7 3 O [ 5 f'(x) dx.

A: we will find the required.

Q: Let h(y) = (2y – 3)4 Determine the derivative of h. h'(y) 8 (2y-3) 5 ✓ h is differentiable on 05…

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Q: ) Find y as a function of x if x?y" + 2xy' – 42y = 0, y(1) = 5, y'(1) =-3. y =

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Q: what is of point Fyl-2,0) fexsy)=(x3ーy+g)s

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Q: Find the weak derivative of f() = |x² – x + 1/5| on the 1) interval (0,1).

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Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: xviss=hy! wh puy in

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Q: Solve the partial differentiabion equation +6.0 = 2-y Ox Show that the gereral aoludion 2.

A: Given. the partial differential equation                            ∂2z∂x2+5∂2z∂x∂y+6∂2z∂y2=2x-y…