bilowing equation f (x,y) = X

Q: Finding the Slope of a Tangent Line InExercises 9–14, find the slope of the tangent line tothe graph…

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Q: Derivative of the function f (x) = tan x at x = n/4

A: Differentiating with respect to x, we get

Q: Finding the derivative of trigono metric y = sin x cos x %3D

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Q: Zero directional derivative In what directions is the derivative of ƒ(x, y) = (x2 - y2) / (x2 + y2)…

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Q: DIFFERENTIATION RULES O Exercise: O Find the derivative of the following functions: 1. s(x)= x* +…

A: Dear student,                     According to our guidelines we can only answer first question or…

Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: Siven f(x) = x2 + 1, x2 0, Find the derivative of the inverse at the point (5, 2) (do not find f-)

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Q: the number lines for f(x), f'(x) and f''(x)

A: Given f(x)=e-x3x+1 To draw the number lines for  f(x), f'(x) and f''(x). and determine the concavity…

Q: Derivative of y = (x(1-x^2)^3)/((1+x^2)^1/2)

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Q: DIFFERENTIATION RULES O Exercise: O Find the derivative of the following functions: 1. s(x)= x* +…

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Q: Second-order derivatives Find the second derivative of y = csc x.

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Q: Function Differential equati« y- 3 Cu2X J--Cnk5 goze-2e オ-d-e

A: We have to solve given problem:

Q: rection where the directional derivative is minimum for the function f(x,y) = xy+x²- (2,1).

A: The given question is taken from the vector calculus in which we have to find the directional…

Q: Engaging Activity: Use the definition of derivative. 3. Find the derivative of y= v2x +1:

A: Consider the function: y=2x+1

Q: Engaging Activity: Use the definition of derivative. 1. Find the derivative of y =- -at x = land x…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 6 2) Find the 3rd derivative of y = (x-1)2

A: Given: y=6x-12

Q: Using derivative as a slope, find the line that are tangent and normal to the following curve at the…

A: Find the value of y in terms of x and find the slope and calculate the tangent and normal

Q: Using the definition, calculate the derivatives of the functions inExercise Then find the values of…

A: Givenf(x)=(x-1)2+1 To find derivative of f

Q: 4) Find direction derivative f(x,y) = x2-3xy at the point (-1,2) in the direction 0 6 %3D

A: Directional derivative of a multivariate differentiable function along a given vector v at a given…

Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) =…

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Q: Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2…

A: We know, the equation of the tangent line to the function f(x) at x=a is given by y-f(a) =…

Q: Using the definition, calculate the derivatives of the functions inExercise. Then find the values of…

A: The derivative of fx with respect to x is defined as:limh→0fx+h−fxh

Q: QI) Find the directional derivative Duf (x, y) of the function f(x, y) = evx2+y² at (2,0) in the…

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Q: Using chain rule evaluate the first derivative of y=x²(x+1)³.

A: We have to find first derivative of the function using chain rule: y=x2x+13 We know the formula of…

Q: 4. y = 7(x² +2)

A: ddx7x2+23Take the constant out:  a·f'=a·f '=7ddxx2+23Apply chain rule:=3x2+22ddxx2+2=7· 3x2+22·…

Q: DERIVATIVES Find the indicative derivative of the following: 1. y = V4x5 + 2x* – 5; y

A: The given function is y=4x5+2x4-5. The derivative of a function is found by differentiating the…

Q: Finding the first and second derivatives in detail y= A 2*

A: We will use derivative to solve the given problem .

Q: total derivative of the function f(x, y

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Q: 1 Definition of Derivatives Use the definition of the derivative to find f(x). 1. f(z)-3-4e +5 3.…

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Q: higher order derivatives

A: Calculation:The linear differential equation with initial conditions are given below.

Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

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Q: The definition of the derivative function is f′(x)=f(x+h)−f(x)h.f′(x)=h→0lim​hf(x+h)−f(x)​. Use…

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Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows:

Q: 1 Definition of Derivatives Use the definition of the derivative to find f'(x). 1. f(r) = 3r2 – 4r +…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 3)y=

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Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c.…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: derivative of y=1/b²+bx-aln(a+bx)

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Q: Second Derivative Test. Consider the function f(x,y) = 4xy + 2ln(x) + 8y

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Q: QI/Find the derivative of the function f(z, k) = z* – 16k³ + tanh(z) – 4 csc(k) in terms of z and k…

A: F is the function of two variables so we have to calculate partial derivatives

Q: 20 1 4+±x* 3 .4. y = 2

A: Given: y=2034+12x465

Q: x cos y+ y - xe" = 0

A: Given xcosy+y3-xey=0

Q: Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (\x| – 0)/(x – 0) = |x|/x.…

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Q: FUNCTION RULE DERIVATIVE y = x3 у %3 Зх3 — 6х? + 4x + 3 1 y = у %3 2х + 1)(х — 7) y = 9

A: According to derivative rules

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: We have fx=xx2+25Differentiate w.r.t…

Q: higher order derivatives find y'' y = 1/x2 + 2x2

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Q: directional derivative of the function at the given point in the direction of Ex, y, z) = x?y +yz,…

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) =…

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