compute the derivative. r(1) = (7 – 1, 4 ī, 8)

Q: Compute the derivative of f(t) = (3t2 + sin t, cos3 t + 8t2, 5tan t) relative to t.

A: d(u+v)/dt=  du/dt + dv/dt

Q: Find the derivative of the astroid x2/3+y2/3=a2/3.

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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: compute the derivative r(t) = (7 − t, 4√t, 8)

A: To compute the derivative of rt==7-t, 4t, 8. Solution: Finding the derivative with respect to…

Q: The derivative of f(r, y) at P(1,2) in th in the direction of-2j is -3. Then the of -i - 2j is

A: It is given that the directional derivative of f(x,y)  at P0(1,2) in the direction of (i+j) is = 22…

Q: Find the value of the derivative of (z – 4i)8 at z = 3 + 4i |

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Q: Find the derivative. 4 7(+3t) dt 7(P+31)-] 4 dt

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Q: Find the derivatives of the functions in Exercise

A: Given function is w=1z1.4+πz. To find the derivative of the functions.Solution: Power rule of…

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

A: Write g(u) using exponent

Q: Find the derivative of the function at P in the direction of A g(x, y) = x - (v² /x)+ /3 sec*(2xy),…

A: To find: The derivative of the function at P0=1,1 in the direction of  A=12i+5j Given information:…

Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

Q: find the derivative of the function at P0 in the direction of u. ƒ(x, y) = 2x2 + y2, P0(-1, 1), u =…

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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: compute the derivatives indicated. f(x, y) = 3x²y – 6xyª, and ax2 ay2

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the derivatives of the functions y = z sec-1 z - √z2 - 1, z > 1

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: 6. 1 Q/ Find the derivative of R(z) %3D 8z4

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Q: Find the derivative of h(z)=(az+b)/q  . Assume that a, b and q are constants. h′(z)=

A: Given function is, h(z)=(az+b)q where a, b & q are constants.

Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: compute the derivative indicated. g(x, y, z) =x2 + y2 + z2, gxyz

A: Given function g(x, y, z) = x2 + y2 + z2

Q: Compute the derivative of g(x) = cos(t) dt-

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Q: Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x (x+ 3)5 15) у - In 6х- 8 A)…

A: Given that:y=ln1-xx+35To find derivative

Q: Calculate the derivative indicated in the figure below

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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 function at P, in the direction of A g(x,v) = x - (y² /x)+ V3 sec (2xy),…

A: Given that  g(x,y)=x-y^2/x+√3arcsec(2xy) P(1,1) and A=12i+5j To find the directional derivative of g

Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x y = In (x + 2)5 4x - 7 (x +…

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Q: compute the derivative. y = z csc(9z + 1)

A: y=z csc9z+1

Q: (§5.5, Q34) Calculate the derivative d dæ ), Vi dt.

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Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

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Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: If u, v, w are nonzero differentiable functions, then the first derivative of uv / w is

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Q: Find the derivative of y with respect to the independent variable. y = (In 20) Select one: A. T(In…

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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: Find the derivative of the function at the given point in the direction of A. 3) f(x, y, z) = -10x+…

A: Here initially we need to find out the partial derivative of the given function to find out the…

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: Can you help me step by step?

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Q: Find Zxx=Zyy=Zxy=

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Q: Find the derivative using the theorems on derivatives. dx x2-2 1 y = 2.y = (x? – 1)³(x² + 3)? x3+4x…

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Q: Evaluate the 3rd derivative of M with respect to (x) M= x6 y3 Cos (x6 y3) if x =6 and y= 3

A: The function is M=x6y3cosx6y3. Using implicit differentiation, find dydx.…

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: 6. у3 In (x*+3х -1)2 V(5x+2) step1 step2

A: Derivative of function

Q: Find the derivative of g(x) = J2x u²+1

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Q: 5. Compute the derivative, r'(t), of r(t) = (et-4, t, In(1 – t)).

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Q: Find the value of the derivative of 23 1. (z+i)3 2. (z – 4i)8 at z = 3 + 4i at z = i

A: at z=i

Q: (3) Compute the derivative of the function Cos tdt.

A:

Q: et dt. · e2t 5. Find and simplify the derivative of f(x) = %3D 1 -2 In z

A: Assume g'(t) = e^t/(1-e^(2t))