Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)
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Q: Calculate the derivative of the function. s (z) = () 8z+5 2z-6
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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…
A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)
Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 5 where the tangent line is horizontal. (x,…
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Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (-1,…
A: Here, the given curve is: f(x)=2x2 To find two tangent lines that pass through (-1,-6)
Q: Qol find the derivative of: - f(z) = (2+22²1/2²) ¹/3 14 3) f(²)= (1+2²) ³/2 -3 7 f(z) = (iz-1)³
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Q: Find the derivative of the function. Q(x) = V ex + x Q'(x) = %3D
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Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =
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Q: Find the derivative of the function = V(=² – 3)* 6, f(x) at x = 2. %3D f'(2) =
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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…
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Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line y= x+2…
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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =
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Q: What are the maximum and minimum values in application of derivatives?
A: We have to define the maximum and minimum values in application of derivatives.
Q: Calculate the derivative. g(z) = 7z −5/14 + z −5 + 9
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Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…
A: Topic - tangent lines to curve passing through Given point outside curve
Q: Find the line tangent to the curve x 3 + y 3 4 at the point (-3/3, –1). V3 y = 3 x – 4 V3 4 - 3 -V3…
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Q: Calculate the derivative.
A: The differentiation is a process of finding the rate of change of one variable with respect to…
Q: Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, – 1) and…
A: We have to find the directional derivative of the given function in the given direction and at the…
Q: How can linear approximation be used to approximate the changein y = f(x) given a change in x?
A: Given; y=fx How can linear approximation be used to approximate the changein y=f(x)…
Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the…
A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first…
Q: Find the derivative of the function at the given point in the direction of A. f(x, y) %3DIn(6x -…
A: let an be the unit vector along which we need directional derivative. directional derivative (D.D) =…
Q: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…
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Q: Shows the derivative function of: TC = Q³ + 2Q² + FC(Q), where TC = Total Cost and FC = Fixed…
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Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =
A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)
Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7
A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line…
Q: Find the derivative of the function. (2) = earcsin(z) 3e arcsin(23)22 V1- 25 f'(z) = V1-26
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Q: Determine the directional derivative of X²Yz +4XZ² at the point P(1,-2,1) in direction a=2û - j +² R…
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Q: Find the derivative of y = x. %3D
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Q: Suppose that f(x, y) = x*y². The directional derivative of f(x, y) in the directional and at the…
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Q: Suppose that f(x, y) = x°y. The directional derivative of f(x, y) in the directional (– 2, – 1) and…
A: Explained below
Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…
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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0
A: Clear solution is given.
Q: Differentiate the function (x + y)1/2 = x4 + y4 by implicit differentiation.
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Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D
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Q: Find the derivative of the function: (DO NOT SIMPLIFY): 2z f(z)%3D +2 (高)
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Q: Find the derivative of f(z) = (x³ + 5)(z³ – 5) %3D (8z")(5x*) (8z +5)(z – 5) + (z³ + 5)(5x* – 5) (8z…
A: We need to use the product rule.
Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2
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Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…
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Q: 5z²)* 4/3 %3D
A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.
Q: Find the derivative of the function. y = x²V25 - x² %3D %3D
A: Differentiate wrt x
Q: Find the derivative of ƒ(z)= 5z10 – 23 +2 f' (z) = %3D
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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…
A: Second derivative of5x2+1 is d2dx25x2+1
Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…
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Q: 8ubject find the derivative of y= X. Ln (esé'sx)
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Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –
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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…
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Q: Find the derivative of the function f (x, y, z) = * ++ at the point (-8, 8,-8) in the direction in…
A: Given thta f(x,y,z)=x/y+y/z+z/x To find teh derivative of the function at point p in the direction…
Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…
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