Find the directional derivative of f(z, y) = In(e" - 3y) at the point (0,0) in the direction of 3i + 4j %3D

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(1, 4, 8),…

A:

Q: The maximum directional derivative of f (x, y, z) =r sin(zy)-yz + 10 %3D at (1, -1, 0) is O v3 O 2…

A: For the scalar function f(x,y,z), gradient is the maximum rate of change.  So, first we will find…

Q: find the directional derivative of the function at P in the direction of PQ.

A:

Q: Calculate the directed derivative of the function f (x, y) = (y^2)/x on the ellipse 2x^2 + y^2 = 1…

A: The given function is fx,y=y2x and the ellipse 2x2+y2=1 Directed derivative,…

Q: Calculate the directional derivative of the function f(x, y, z) = 2x³y − ln(y)x²z − z² at the…

A: Answer

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: a) Find the directional derivative of f(x, y, z) = x²yz + 4xz² at (1, -2, 1) in the direction 2i - j…

A:

Q: Find the directional derivative of f(z, y) = In(e"- 3y) at the point (0, 0) %3D in the direction of…

A: Topic- Direction derivatives of function using partial differentiation .

Q: Find the directional derivative of f(x, y) = 3x2 − 2y2 at (−3/ 4, 0) in the direction from P(−3/4,…

A: The directional derivative is the scalar product of the derivative of the function to the vector…

Q: Consider the function z = f(x, y) = x° + x² cos y What is the directional derivative at (1,0)) if…

A:

Q: Find the directional derivative of the function f(x, y, z) = ryz in the direction normal to the…

A: We havefx,y,z=xyz

Q: Find the derivative of ƒ(x, y, z) = xyz in the direction of the velocity vector of the helix r(t) =…

A: Concept: A vector is a directed line segment whose length is the magnitude of the vector and with an…

Q: Find the directional derivative of the function at the point in the direction of the unit vector. 3…

A:

Q: Find the directional derivative of the function f(r, y) = 1+5x /j at the point (5, 1) %3D in the…

A:

Q: 2. Find the rate of change of the function f(x, y) = x² sin y at the point (1,) in the direction of…

A: To find out the rate of change in the direction of the given vector.

Q: Find the directional derivative of the function if f (x, y, z) = 3e* cos(yz) at point %3D (0, 0, 0)…

A:

Q: Compute for the directional derivative of f (x,y,z) = tan (ax – 2ny)e4y-z at the point (,0, ln 4) in…

A:

Q: 7. Find the directional derivative of the function f(x, y, z)=(y+28) at (2, 1, 1) in the direction…

A:

Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

A:

Q: Find the directional derivative of the function f(x, Y, z) = 3e" sin(xy) in the direction of v =…

A:

Q: : Find the derivative of f(y, z) = ze2y + cos(2zy) at ppoint (9,1,0)in the direction of V = 2i – 3j…

A: This is directional derivative, just write the formula and solve accordingly.

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Applications of derivatives

Q: The directional derivative of f(, y) = In(x² + y²) at the point P(1,5) in the direction v (3, 4) is…

A: We have to find the directional derivative of the function fx, y=lnx2+y2 at the point 1, 5 in the…

Q: Find the directional derivative D,f(P) of f(x, y, z)= cosx+y+z°-5 at P:(, 1, 1) in the direction of…

A: Solved below

Q: Find the directional derivative of function f(x y)=x°e' at the point (1,1) and direction of vector…

A: Given:       fx,y=x2ey    at the point 1,1 and direction of vector v=2i      fxx,y=∂∂xx2ey…

Q: find the derivative of f(x, y) = x² + xy at P,(1,2) in the direction of the unit vector u = i+ V2

A:

Q: Find the directional derivative of f(x, y, 2) = xz+ y?, at (1, 2, 3) in the direction of i = i+j+ k.…

A:

Q: Compute the directional derivative of f(r.y) = at the point (1, 1) in a direction normal to the…

A: Given that: f(x,y)=x2y at the point (1,1) Ellipse: x2+2y2=1 at the point (1,0)

Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

A:

Q: Find the directional derivative of the function at point P in the direction of v. h(x, y, z) = xyz,…

A:

Q: Find the derivative of the function at Po in the direction of A f(x,y,z) = 3 e* cos (yz), Po(0,0,0),…

A:

Q: Compute the directional derivative of the function f(x, y, z) = 3xyz at the point P = (1, −3, −1) in…

A:

Q: Find the directional derivative of h(x,y) = e*(sin y) at the point (1, T/2) in the direction of v =…

A:

Q: Find the derivative of the function at Po in the direction of vector A h(x, y, z) = cos(xy) + e>% +…

A:

Q: Compute the directional derivative of f (x,y)= at the point (1,1) in a direction normal to the…

A: The directinal derivative is given below

Q: 4. Compute the directional derivative of f(r, y) = at the point (1, 1) in a direction normal to the…

A:

Q: Find the directional derivative of f(x, y) = In(e- 2y) at the point (0, 0) in the direction of 3i +…

A:

Q: The directional derivative of xy f(x, y) = x + y) at (1, 1) in the direction of the unit vector at…

A:

Q: What is the rate of change of the function f(x,y) = ye^(2cos x) + tan(x+3y) at ( 3π/2 , π/2) in the…

A: Given: fx,y=ye2cosx+tanx+3y To Find: Rate of change of fx,y in the direction of the vector 3,4 at…

Q: The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j…

A:

Q: Find the directional derivative of the function f(x, y) = 1+5x/ at the point (5, 1) in the direction…

A:

Q: Find the directional derivative of f(x,y,z) = x² + xy + z² at point (1,0,1) in the direction of z -…

A:

Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

Q: ) Compute the directional derivative of f(x, y) = x2 y at the point (1, 1) in a direction normal to…

A:

Q: Find the derivative of the function at Po in the direction of A. g(x, y, z) = 3e* cos yz, Po(0, 0,…

A:

Q: Find the directional derivative of function f(x,y)=x*e" at the point (1,1) and direction of vector…

A:

Q: Find the directional derivative of f(x,y,z) = x²z – xz³ + zy at the point (1, -2,0)in the direction…

A:

Q: Find the directional derivative of f(x,y,z) = x³ + 3xy + 2y + z? at (1,1, 1) in the direction of v =…

A: We will use the fact that the directional derivative of a function at a point in the direction of a…

Q: What is the directional derivative of f(x, y) = 4xy+ y cos x at the point (0, 1) in the direction of…

A:

Q: 3. Find the directional derivative of the function f (x, y)= sin (xy) at a point -2i +j in the…

A: The given function: f(x, y)=sin2(xy)P=34, πu→=-2i^+j^5