Second derivatives Find y″ for the following functions. y = tan x

Q: Find the derivative of the trigonometric function. y = 4x cos(x) + x2 sin(x) y' =

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Q: Higher-order derivatives Find and simplify y". y = y = e*+1

A: We need to calculate y''.

Q: Find the derivatives of the function x=a (cos t + sin t ) ,y=a(sin t -t cos t

A: To find the derivatives of the function

Q: y = sec*0 – tan*0

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Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

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Q: 1-x sinh Find the derivatives . 1+x

A: To find the derivative of:sinh-11-x1+x

Q: Implicit differentiation Find dy/dx for the following implicit relations. y ln (x2 + y2) = 4

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Q: 1. y= sin (x² + 3x + 1)

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Q: 5. y = Arctan² (x³) '2х-1 6. y = Arccos 3x+1/

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Q: Calculating derivatives Find the derivative of the followingfunctions.

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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: Second derivatives Find d2y/dx2 for the following functions. y = x cos x2

A: Given

Q: Calculating derivatives Find dy>dx for the following functions.

A: y=e-x sinx

Q: Derivative of the Square Root Function i) Find the derivative of for y = Vx for x > 0. ii) Find the…

A: We have to find the derivative of the given function.

Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

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Q: derivative(y

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Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

A: Given curve is x4+y4=2. (a) Differentiating the given curve with respect to x,…

Q: Calculating derivatives Find dy>dx for the following functions.

A: Derivative of a function is the rate of change of the function. It gives the slope of the function…

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

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Q: Derivatives of Trigonometric Functions dy Using the formula find dx 4. y-sin (x + 3x + 1)

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Q: Derivatives of inverse hyperbolic functions Compute dy/dx for each function.a. y = tanh-1 3x…

A: we have to take the derivative of the inverse hyperbolic functions Compute dydx for each function.…

Q: Calculating derivatives Find dy>dx for the following functions.

A: Derivative of sinx is: ddxsinx=cosx Derivative of cosx is: ddxcosx=-sinx

Q: Derivatives Find the derivatives of the following functions. ƒ(x) = tanh2 x

A: Given: fx=tanh2x

Q: f (x+h)-f(x) Using the definition of the derivative i.e. f'(x) = lim h→0 h a) Differentiate the…

A: First we will it's derivative then put x=2 then we will find tangent equation

Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, '2x-1 1. y = Arccos…

A: To find: The derivative of y=cos-12x-13x+1. Formula used: Chain rule of derivative: fgx'=f'gx·g'x…

Q: Derivatives of functions with rational exponents Find dy/dx

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Q: Second derivatives Find y″ for the following functions. y = 1/2 ex cos x

A: Given: y=12excosx

Q: Second derivatives Find y″ for the following functions. y = cos u sin u

A: Given- y=cosu·sinu To find- The second derivative of the above expression. Formula used-…

Q: B. Derivatives of Trigonometric Functions Using the formula find 6. y=tan Vx2 – 1

A: Let's find.

Q: Second derivatives Find d2y/dx2 for the following functions. y = e-2x2

A: The given equation is y=e-2x2 Differentiate with respect to x, we get…

Q: Using the derivatives of trigonometric functions, the derivative of y= cos (z Aý = - sin (z) B. V --…

A: We have to find derivative

Q: 2. Determining Advanced Derivatives of Trigonometric Functions A. f(x) = sin x + cos x B. f(x) = sin…

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Q: Calculating derivatives Find dy>dx for the following functions.

A: To find: The derivative of y=5x2+cos x. Formula used: Sum rule of derivative: ddxu+v=ddxu+ddxv Power…

Q: Second derivatives Find d2y/dx2 for the following functions. y = sin x2

A: the given function is: y=sinx2 we have to find the value of d2ydx2

Q: Find the derivative of the function and evaluate the derivative at the given h(x) =x*; a = 1 Find…

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Q: Find the derivatives of the function f for  n = 1, 2, 3, and 4. f(x) = xn sin x

A: Given : f(x) = xn sin x To determine the derivative of f(x) for n = 1,2,3 and 4

Q: Calculating derivatives Find dy>dx for the following functions.

A: For a function f(x) the derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard…

Q: Second derivatives Find y″ for the following functions. y = x sin x

A: Second derivatives Find y″ for the following functions. y = x sin x

Q: Calculating derivatives Find the derivative of the followingfunctions.

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Q: Second derivatives Find y″ for the following functions. y = x2cos x

A: Consider the given: y=x2cosxDifferentiate w.r.t.…

Q: y = sech(x² + 2); y ||

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Q: Calculating derivatives Find the derivative of the followingfunctions. y = ex(cos x + sin x)

A: Consider the given function, y=excosx+sinx use the product rule of the differentiation which states…

Q: Implicit differentiation Find dy/dx for the following implicit relations. 2x2 + 3xy - 3y4 = 2

A: Given equation - 2x2+3xy-3y4 = 2Differentiating with respect to x -ddx2x2+ddx3xy-ddx3y4 =…

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

A: given funnction, y=sin x cos xwe have to find derivative of given function

Q: The 2nd derivative of the function is 3 points .2 y = cot x? 2 esc x (4x cot x -1) 2 ese x (4x cot x…

A: Given: To find the second derivative. y=cot x2

Q: 5. y = Arctan²(x³) 2х-1 6. y = Arccos 3x+1/

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Q: 2. Determining Advanced Derivatives of Trigonometric Functions A. f(x) = sin x + cos x B. f(x) = sin…

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

A: Given:  x+sin y =yTo…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: