Find the derivative of the function at the given point in the direction of A. 3) f(x, y, z) = -10x+ 2y - 4z, (4, 8, -10), A- 3i - 6j - 2k

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: find the directions in which the functions increase and decrease most rapidly at P0 . Then find the…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: Find the second derivative of the function y=x(x² – 1)² A) None of the given choices B) 2x(5x2 - 6)…

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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: Find the derivative of the function at Po in the direction of u. X-y g(x.y) = xy +3' Po(2, - 2), u=…

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Q: Find the derivative of the function. g(u) =√u+1(1 − 5u2)7

A: Write g(u) using exponent

Q: 18. Find the directional derivative of * f(x, y) = -2e* cos y at (0, 7) in the direction of v = (-6,…

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Q: 8 Find the derivative of the function: 1) g(x) = V1+ t² dt 2) g(x) = d 3x 1 1+4 3) g(y) = , tsin2tdt

A: Apply lebneitz integral rule

Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4…

A: Given:        y= x+12x2+1-3

Q: The directional derivative of f(x,y,z) = xy²z-2xy² +1 at the point P(3, - 2, 0) towards the origin…

A: 1. The gradient of a function is a vector field. It is obtained by applying the vector operator ∇ to…

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y) = 3. ху +3° Po(-1,2), u=…

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

Q: Find the derivative of the function at P, in the direction of A. 0. fxy,2) 3D ху + yz +zx, Pо(3, -…

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Q: What is the derivative of y + x + y² = x ? O y : 1- 3z2 3y2 + 2y 1+ 3x? 3y? + 2y O y = 1- 3x2 3y? +y…

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Q: Find the derivative of the function at P, in the direction of A f(x, y) = 2xy-3y, P(5,5), A = 4i+ 3j…

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the derivative of the function f (x, y, z) = -9x + 5y – 10z at the point (-3, 6, 5) in the…

A: we have to find the following . I have explained in details please see the explanation and if any…

Q: Find the derivative of the function. g(u) = (8+ u²)*(1 – 5u²)8 %3D = (n), 6

A: Now we will differentiate g with respect to  u . And we will  derivative the function using chain…

Q: 24// Find first and second derivatives of the function (3xy + 7)2 = 6y.

A: Step:1 We have to find the first and second derivatives of 3xy+72=6y Here we have to find the…

Q: Q4: Find the derivative of the function at P。 in the direction of A 2 1) f(x, y) = 2xy-3y², P (5,5),…

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Q: Find the derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1),…

A: We need to find derivative of the function.

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

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Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: The directional derivative of the function function = x - xyz + y? at the point (1, 2, -1) in the…

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Q: Find the derivative of the function at Po in the direction of A f(x,y,z) = xy + yz + zx, Po(3, – 3,…

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Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

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

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Q: Find the derivative y′(x) of the function that describes the general equation of a second order…

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Q: Evaluate the value of ‘a’ if the first derivative of m(x,y,z)=4-ax^2-2y^2, with respect to the…

A: Consider: mx,y,z=4-ax2-2y2 and mx1,2,3=-2. Solve for a. Calculate mxx,y,z by applying…

Q: Find the derivative of the given function.   f(z)=−1/z^4.1

A: Recall the rule for differentiating powers when the exponent is a positive integer

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

A: Given data: The given function is f(x,y,z)=2ln(xy)+2ln(yz)+2ln(xz). The given point is P0(1,1,1).…

Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: Find the derivative of the function at the given point in the direction of A. f(x.y,z) = In (x…

A: Solved below.

Q: Find the derivative of the function at P, in the direction of A. 2 f(x.y) = 4xy- 4y, Po(6,8), A= –…

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Q: Find the derivative of the function. 7 y = - Choose the correct answer below. OA. (x*) (6x³) –…

A: Use quotient rule of differentiation. Use power rule of differentiation.

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x' – 2)' u? a) y=…

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Q: How did he get the derivative? fx (x, y)=-2xe4y–x²-y² fxx (x, y)=-2e4y-r²-y² + 4x²e4y¬x²-y² fy (x,…

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Q: (c) Use the chain rule to find the derivative of the function z = 2r*y³ – ry² along the curve given…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 3xy - 3y, Po(2,4), A= -…

A: We have to find out derivative

Q: 1. Find the directional derivative of the function f (x, y, z) = In (3x + 6y + 9z) at the point…

A: To find: the directional derivative of the function f(x,y,z)=ln (3x+6y+9z) at P1(1,2,3) in the…

Q: Find the derivative of the function at the given point in the direction of A. f(x.y) = 7x + 8y.…

A: Directional derivative: - The partial derivatives of f give the slopes ∂f∂x in the positive…

Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z)= 4x + 7y-27,…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

A: Consider the equation

Q: Get the first order derivative of the function x? – 3x5y* + 2x = 5. y 2xy-15x*y*+6x² 5-x²+15x=y* a.…

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Q: Find the derivative of the function at Po in the direction of A. f(x.y.z) = xy + yz + zx, (1.-1,-…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.