f(x) = e=*(x² – 5x + 2)

Q: Solve the second derivative forf(x,y, 2) = e

A: Given f(x,y,z)=esin(x²+y²)/z To find del²f/delx²

Q: * Find the fourth derivative 1 y=x²- HJXJ

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Q: 2x+1 S(x) = 3x+2,

A: Solution:Given     f(x)=2x+13x+23To find the derivativeFormula:ddx(xn)=nxn-1uv'=vu'-uv'v2

Q: Find the differential of the function y=(3-x8)1/2

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Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: B) Findfor the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3.…

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Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: Use the Power Rule to compute the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the first derivative for each in the form of dy/dx   1.)  y= 3root(x^2)- 3/x^3 + e^ -5x +…

A: Explanation of the answer is as follows

Q: use the Chain Rule to find the derivative. y = cos3(e4θ )

A: Given: The function given is  y=cos3(e4θ)   To determine: The derivative of the function y=cos3(e4θ)…

Q: use the Chain Rule to find the derivative. y = cos3(12θ)

A: Here given as y=cos312θ

Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

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Q: Find the indicated derivative dz/do for z= x^3+x^2/1-x-4x^2

A: We have to find derivative

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: We have to find the derivatives of the following function: y=sin 4x3+3x+1 We know the formula of…

Q: Find the derivatives of the functions in Exercise

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Q: Find y' by implicit differentiation. 1) x²y° = 2

A: Given equation: x2y9=2 To find: y' by implicit differentiation.

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

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Q: Find the third Taylor's polynomial f(x) = x3 – x² + 3x + 1 which can easily find the derivative at…

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Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: Given f (k) = In(k² + 2k + 1) – 3ke + 6k2 – 9k a. Using the properties of derivatives, solve for…

A: The function is given by fk = lnk2+2k+1-3ke+6k2-9k To evaluate: The expression of f''k

Q: Use the Chain Rule to find the derivative. y = cos3(e4θ )

A: We have given y=cos3e4θ Then, dydθ=dcos3e4θdθ=3cos2e4θ-sine4θ4e4θ=-12e4θsine4θcos2e4θ

Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

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Q: Use the Chain Rule to find the derivative. y = cos3(12θ)

A: Given function is y=cos312θ. To find the derivative of the given function using chain rule.…

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

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Q: Find the derivative of the given function. y = - 9sin (5x4 - 6) dx ||

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Q: Find the first derivative. x= -6t + 4t+ 1 xp dt

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Q: If f(x) = x^2 sin(3x), find the differential dy

A: Consider the given: fx=x2sin3xy=x2sin3x Differentiate w.r.t. "x", dydx=ddxx2sin3xApply the Product…

Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

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Q: by implicit differentiation if x² +9x+9xy-y² =16 Find x dy

A: Find dydx by implicit differentiation if x2+9x+9xy-y2=16. Solution: Power rule of differentiation…

Q: Find the indicated derivative.dp/dqfor p =q2 + 2/4q-2

A: Given a function in p in terms of q as shown below. We need to compute dp/dq.Here we use (u/v) rule…

Q: y = v3 – 2x

A: Giveny=3-2xTo find:The derive of the given equation using delta…

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: find the second derivative and simplify the final result 10. y= (e^(-3x+4) +2) / (e^(2+3x) +1)

A: Given that, y=e-3x+4+2e3x+2+1 We have to find the second derivative of y with respect to x.

Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

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Q: y = 5v 3vã х

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given, f(x)=sin(2x)+17

Q: Find the general solution of the following equation.Primes denote derivatives with respect to x.…

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Q: Use the chain rule to find the derivative of: cos(7 + 8x)

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Q: Find the derivatives of the functions y = 3/(5x2 + sin 2x)3/2

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Q: Find the 1st and 2nd derivatives of the following profit function: =(xa-110)1/a that is, and find…

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Q: Use the u-substitution to find the anti-derivative of h'(x)= xcos(2-3x2)

A: h'(x)=xcos(2-3x2) Formula ∫cos (x) dx= sin (x)+C

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Find the derivative of the function. y = -5x In (2x + 9) dy xp

A: Topic = Derivative

Q: Find the anti derivative: x3(x2+9)1/2 dx Hint: Use Trig Identities

A: here we use the trigonometric identities1+tan2x=sec2x

Q: Find for the following function: dx 4- y = In2 5- tan-1 V4x - 5

A: Topic : differentiation

Q: Which equation shows the correct derivative of the equation y = 2x² + 14x + 5? Oy = lim- 4th + 2h² +…

A: On solving this we will get that