A function has a tangential gradient of 2sin3x. If the curve cuts the x-axis at, determine the y-intercept of the function

Q: Find the gradient of the function f(x,y) = 4y - 9x at the point (9,3). Then sketch the gradient and…

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Q: Find the points on the curve y=x(x-1)(x-2) which have the same gradient use @ for 2

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Q: Find the gradient of the function at the given point. In(x2 - Y) - 9, (3, 8) Vz(3, 8) =

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Q: Find the gradient of the function f(x.y) = /2x+ 3y at the point (- 1,2). Then sketch the gradient…

A: Solve the following

Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: find the gradient of the function at the given point.Then sketch the gradient, together with the…

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Q: Find the gradient of the function at the given point. In(x2 - y) - 2, (2, 3) Z = Vz(2, 3) =

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 7, -5) Vw(13, 7, -5) =

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Q: First, compute the gradient of the following function. Then evaluate it at the given point F(x,y)= e…

A: gradiant of F→=∂F∂xi+∂F∂yj

Q: Determine the point on the curve of y=4/x where the gradient of the tangent to the curve is -1

A: To determine: The point on the curve of at which gradient of tangent to the curve is . Given: The…

Q: Find the derivative of the function. g(x) = In()x° – x|) %3D g'(x) = %3D

A: Formula used. ddxln(x)=1x;ddx(x)n=nxn-1

Q: Let y(x) = . Estimate the slope of the tangent line of y(x) at the point æ = 0 : a+2

A: Solution

Q: Q3: Find gradient of the following function at given point f(x, y. =) = (x² + y° + :')"? + In(xyz).…

A: The detailed solution is as follows below:

Q: Find the gradient of the function at the given point. In(x² – y) – 8, (3, 8) Vz(3, 8) =

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Q: Find the linear approximation of the function g(x) = 1+x at a = 0 and use it to approximate the…

A: We will find g'(x) using the power rule

Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 8, –3) Vw(9, 8, -3) =

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Q: Q3. Find the coordinates of the point(s) of the function y=3x – 5x +2, where the tangent has a…

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Q: Find the gradient of a normal line to the parabola y=x^2+5x-9 at the point (1,1)

A: In this question, the concept of slope is applied. Slope A line's slope or gradient is a number that…

Q: Find the gradient of the function at the given point. In(x? - y) - 3, (2, 3) Vz(2, 3) -

A: We have to find the gradient of the function z = lnx2-yx-3 at the point 2, 3.

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope:  The slope of a line measures the steepness of the line. The slope is calculated by rise over…

Q: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: Let f(x, y) = xe*Y. Find the maximum rate of change of f at the point (2, 1). хе

A: We will find the maximum rate of change.

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 8,    (2, 1) ∇f(2, 1) =

A: We have to find the gradient of the function  f(x, y) = 2x+4y2+8  at the point (2, 1).

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

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Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: Find the gradient of the curve and the equation of the tangent line at the specified point x*у' -…

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Q: Consider the function f (x) (x +2) The graph of y = f (a)as two tangents that pass through (1, 1).…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the gradient of the function at the given point. w = x tan(y + z), (8,4, –2) Vw(8, 4, -2) =

A: Given problem:- Find the gradient of the function at the given point. w = x tan(y + z) , (8, 4, -2)

Q: Find the gradient of the function y = x³ + x² – 2x at points where - a. It crosses the x -axis b. It…

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Q: Exercise 1: Compute the derivative of the given function and find the slope of the line that is…

A: Given that      f(x) = 4 ; x=0 Here we have to compute the derivative of the given function and find…

Q: Find the gradient of the function whose center is at the origin and radius of 7units…

A: We have to find gradient of the function whose center is at origin and radius of 7 units. We know…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (20, 8, -4) Vw(20, 8, -4) =

A: The expression for the gradient vector is:…

Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

Q: Find the gradient of the function at the given point. In(x - y)- 4, (3, 8) Z = Vz(3, 8) =

A: The objective is to find the gradient function at the given point.

Q: For what values of x will the curve of y = x(x² – 12) has zero gradient? %3D

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Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = z =

A: The given function,   z=lnx2-yx-3, at the point 3,8

Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) Vw(10, 5, -2) =

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

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Q: Let y(x) = 2. x+2 Estimate the slope of the tangent line of y(x) at the point a = 0:

A: The given function is: y(x)=1x+2

Q: Which one of the following is the gradient of the tangent line at the point (6, -3) on the graph of,…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Gradient of function is ∇w=i^∂w∂x+j^∂w∂y+k^∂w∂z where i^, j^, k^ are unit vectors along x, y, z axis…

Q: Q3: Find gradient of the following function at given point 1) f(x,y)=y-x, (2,1)

A: We find the gradient of the given function by using the definition of gradient. The gradient of a…

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = Z

A: for finding gradient we have to find the derivative with respect to x and y   z  = ln(x2 -y)/x - 3…

Q: Find the gradient of the function at the given point. In(x2 – y) - 3, (3, 8) Z = | Vz(3, 8) =

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Q: The gradient of the tangent to the curve = 4x + y at the point (0, 1) is D - 2

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Q: For curve with equation f(x) =x²(x² – 1) find a. The coordinates where its gradient is zero b. The…

A: The gradient of a function f(x) is given by its derivative w. r. t to 'x' that is f'(x).  The…

Q: Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal to the…

A: We have to find the values of x for which the gradient of the tangent to the graph of y=f(x) is…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 7, -2) Vw(12, 7, -2) =

A: Gradient of function wx, y, z=xtany+z at point 12, 7, -2