Use the gradient to find the directional derivative of the function at P in the direction of PQ.

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the tangent line to y when x = 2.

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x,…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Use the gradient to find the directional derivative of the function at P in the direction PQ. f(x,…

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Q: The maximum value of directional derivative of f in the direction of b is given by .. (a)Vf.6 (b) Vf…

A: We need to tell the maximum value of the directional derivative of f in the direction of b^.  The…

Q: Find the derivative of the funciton F(x) = ,5t dt. F'(x) =

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Q: Find the direction for which directional derivative of f (x,y) = 3x² – 4xy + 2y² +29 at (-2,3) is…

A: Formula: The maximum directional derivative of f(x, y) at (a, b) is given by ∇f(a, b) and direction…

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: By using the definition of the derivative, use a clear diagram to argue that d S(t)dt = f(x). %3D dx…

A: We have to prove that ddx∫axftdt=fx This will be prove by Newton's Leibnitz rule in this rule we…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Gradient of f(x,y) is calculated by partially differentiating the equation.

Q: Find the derivative of the funciton F(x) = dt. F'(x) =

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Q: Find the derivative of the function. f(t) = emt cos(nt) %3D

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle θ.…

A: Given, 4. f(x,y) =xy3 - x2, (1,2) , θ = π/3

Q: Evaluate the directional derivative of the function f =x² - y° + 2z? at the point A (1,2,3) in the…

A: The directional derivative of a function f at a point a in the direction of a vector v is…

Q: Find the derivative of the function. t) 3DV5+ tan t

A: The derivative of the following function needs to be evaluated  f(t) = 5+tant9

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Gradient problem....

Q: Find the directions in which the directional derivative of f(x, y) = ye at the poist (0, 2) has the…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x,…

A: We know that the directional derivative of a function f(x, y) at a point P in the direction of a…

Q: b) Find the gradient of the tangent to the curve y= at the point with x=1.

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Q: Use the gradient to find the directional derivative of the function at P in the direction of  PQ.…

A: This is question of application of differentiation which we will proceed as follows

Q: Use the definition of the derivative to show that the derivative of y = f(x)3 2/ is 1 f'(z) = VI %3D

A: GIVEN f(x) = 2√ x CALCULATE f'(x) = 1/ √ x

Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x?…

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Q: Find the derivative of a linear function y=ax+b using the definition of derivative.

A: The derivative of a function f' of function f is defined as f'x=limh→0fx+h-fhh

Q: Find the gradient of the tangent to the curve y = at the point with x 1. x+1

A: giveny=x2x2+1differentiatey'=(x2+1)2x-x2.2x(x2+1)2=2x(x2+1)2

Q: Find the gradient of the tangent line to y when x =- 1

A: The explanation of answer as follows

Q: f(x, y) = e sin x, P(0,0), Q(2,1)

A: Consider the following function: fx,y=eysinx Gradient of the function:…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the functions below a)f(x, y) = In Vx? + y?

A: Here we will find out the required value.

Q: Calculate the derivative indicated.

A: We have to calculate the indicated derivative drdtt=4 for the given function: r=t-et We know the…

Q: Use the gradient to find the directional derivative of the, function at P in the direction of v.…

A: Given; h(x,y) = e-4xsin(y) , P(π/2) , v= -i

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the directional derivative of fix, y) = sin(y) at the point P (1.5) in the direction

A: Given f(x, y)=ex sin(y) and point is P(1,π2)   To Find: Directional derivative of f(x, y) at the…

Q: Find the gradient when x = and y = sin (3x). %3D

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the gradient of the curve y = a²xe-b*x at x = 1.

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle θ.…

A: To determine the directional derivative of function f(x, y)=2ye-x at point (0, 1) and direction is…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(2,…

A: Given query is to find the direction derivative at given point.

Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x2…

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Q: Find the unit direction vector of greatest decrease of f at xo = [0 - 1 1]' and evaluate the…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: Calculate the derivative using the appropriate rule or combination of rules. 22 + 2z – 8 z2+ z – 2…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ g(x,…

A: Given that: g(x, y, z)=xye10z,     P(4, 12, 0), Q(0,0,0)

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Given that, the function is gx,y,z=xye8z and the points are P3,12,0 and Q0,0,0.…