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

Q: logarithmic differentiation to find the derivative of the function. y = Vxe* (x² + 9)10

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Q: CABANATUAN CITY Find the derivative of each function using implicit differentiation. 10. 3y +7x =x2…

A: 10. 3y4+7x=x2+y-311. 2x3y-3y3x+x2y2-2=012. 1x3y3+4y2x=-xy2

Q: 1- sin x Find the derivative of y = 1+ sin x

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Q: X^3 +y^3=2xy find the derivative using implicit differentiation

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Q: 11) Find the derivative by implicit differentiation a) xy = x+ y %3D b) Find the derivative by…

A: a) Consider the function and solve for dy/dx.

Q: Calculating derivatives Find the derivative of the followingfunctions. y = csc2 u - 1

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Q: II. Higher Order Derivatives. Calculate the third derivative of the following functions. 11. y = x?…

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Q: Use implicit differentiation to find ∂z/∂x and ∂z/∂y. x8 + y5 + z6 = 5xyz

A: ∂z∂x= 5yz-8x76z5-5xy And   ∂z∂y=5xz-5y46z5-5xy

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

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Q: First Derivative:  w=sec2x+tan2v

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Q: Implicit differentiation Find dy/dx when F(x, y) = sin xy + πy2 - x = 0.

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

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

Q: etermine the second derivative of 2x3 + y² = 1 – 4y[Hint: Implicit Differentiation]

A: Given 2x3+y2=1-4y differentiating both sides with respect to x: 6x2+2ydydx=-4dydx…

Q: 3z-2x² -1 (2z–1)®

A:

Q: estion Four: Find the second derivative of x = tan (y)

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given

Q: Product Rule for the second derivative Assuming the firstand second derivatives of f and g exist at…

A: Given: The first and second derivatives of f and g exist at x

Q: Evaluate the 2nd derivative at the given point

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Derivative of aresine Assume that y = sin x is a differentia- ble function of x. By differentiating…

A: Given: y=sin-1x

Q: Calculating derivatives Find the derivative of the followingfunctions. y = x sin x

A: Product rule(fg)'=f'g+fg'Derivative formuladdxsin x=cos xddxxn=n xn-1

Q: Higher-order derivatives Find and simplify y". In x y = 2

A: The given function is y=lnxx2. Differentiate the function y=lnxx2 to find the first derivative of…

Q: Calculating derivatives Find the derivative of the followingfunctions. y = ex csc x

A: The given function is y=excscx

Q: Implicit differentiation Find y′(x) when sin xy = x2 + y

A: Given, sinxy=x2+y                             ...(1)

Q: Find the derivative of the function. 1- e2x 1+ e2x y = cos y' = Need Help? Read It Watch It

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Q: Higher-order derivatives Find and simplify y". 3x 1 y = x + 1

A: Given: y=3x-1x+1

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: Calculating derivatives Find the derivative of the followingfunctions.y = e-x sin x

A: we have to find the derivatives of the following function y = e-x sin x

Q: higher order derivatives

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

Q: 1-2x a. Find the derivative of f(x)= 3+x using the definition of the derivative. Then find the…

A: Here we will find derivative by definition of derivative and tangent line at x=0 and meaning when…

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x).

A: To find the higher order derivatives.

Q: Derivatives Find the derivative of the following functions

A: Given: y=x2+1lnx we know that ddxu.v=vdudx+udvdx                                       ..1

Q: Find the third derivative:

A: The given function is rt=t520+2t2+t4. Evaluate the first derivative of the given function as…

Q: Calculating derivatives Find the derivative of the followingfunctions. y = 5x2 + cos x

A: Given function,  y = f(x) = 5x2 + cos x To find the derivative of the function.

Q: "Зх — 1 (c) f(x) = x2 + 3

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Q: 2. Find the derivative of y = Vr+ VT

A: Finding derivative of y with respect  to x.

Q: 3)y=

A:

Q: IV. Higher Derivatives sin(x) 1) Find the 3rd derivative of y

A: Given: y=sinxx For finding third derivative of given expression, we need to find first derivative…

Q: Find the derivative of the function. f(x) =  x ex

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Q: Finding a Derivative of the function. 23. f(x) = sinh 3x

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Given : To find out relative maxima and minima we need to take first derivative and find out…

Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

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Q: Higher-order derivatives Find and simplify y″. y = 2x x

A: Given:                   y=2xx   To determine:                         Higher order derivatives=?…

Q: X COSX Find the derivatives off(x) - 1+x*

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Q: . Implicit differentiation Use implicit differentiation to finddy/dx.

A: Given : y = x+1y-1 ...(1) To find : dydx Equation (1) becomes y(y-1) = x+1 differentiate w.r.t x on…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.