y x sin x +x cosx

Q: х-1 8. у%3Dlog. х+1

A: Given  y=logx-1x+1  =12logx-1x+1 The first derivative is  y'=121x-1x+1ddxx-1x+1…

Q: 2.5 Can you show me the steps to solve the problem? Directions: Find the derivative of the function.…

A: Given,

Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: Q7/ find the derivative ) answer five only 1-f(x) =+ 5 e* x4/3 2- f(x) = 2 x² + 3y + 3- f(x) = cot x…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v. dcotxdx = -csc2x

Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) f(2) =…

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Q: 3a'x-x? Find the derivative of the Tan a (a²-3x*)

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Q: 2x 4. Find the derivative of g(x) : %3D x4+vx Completely simplify your answer as a single fraction.

A: using formula  ddx(xn) =nxn-1

Q: f(x) = x2 - e* 5 Find the value of x for which the second derivative f'(x) equals zero.

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Q: Final Final Answer: 8. Find the 2nd derivative of Answer: 3 y = In(7 – x³) 9. Find the 3rd…

A: In the question we have to find derivatives of given function.

Q: Consider the following equation. 8x? - y2 = 6 (a) Find y' by implicit differentiation. y' = (b)…

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Q: Find derivative A) y=sin x/1-cos x B) p(x)= 3/1+10e^4x Simplify answer

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Q: Find the derivative of the function. y =  ? (2x)5 y'(x) =

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: 41. y= (1+4x)(3+x-x²)

A: see below the answer As we know that  ddxuv=dudx×v+u×dvdx  for u and v are two function of x

Q: a2f Solve the second derivative ду? for f(x) = tan-) 2y2 (x4-3y4) A:- (x2+y?)2 2x2 (x4-3y4) B:-…

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Q: Question: Which rules do you need to use from above to compute the derivative of f(x) = 3 cos(x) + 2…

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Q: 6: Find the following derivatives. If you are using a derivative rule, state the rule or write the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x-1 8. у %3D1og. y = х+1

A: Given y = logx-1x+1 It can be rewritten as y = logx-1x+112y = 12logx-1x+1 Differentiate both sides…

Q: 3. Given the equation: y = (eln *)?, find y'. 4. Find the derivatives with respect to x of the…

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Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE?…

A: Let's find.

Q: ax +b 35. y= cx+d 36. y= (x' +4x) 37. y = (r -x+1)

A: 35 Given function is y=ax+bcx+d. Differentiate y=ax+bcx+d with respect to x, we get…

Q: V3 n - 1 Find the slope of the curve y = cosx at without calculating the derivative of cos x. 2 '6…

A: Solpe of the cure at point x=a is the the derivative at point at x=a.

Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

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Q: Find the second derivative of the function. (Simplify your answer completely.) f(t) = 2e e-4t 3e-t…

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Q: 2-r f(r)=2ー: f"(r) 1+r

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Q: f (x y) = x" + 6ly -10 what cre the first derivatives of the funchion?

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Q: Q. 2 (a) find the derivatives for the following functions. (i) у %3D 5х - 6х3 (i) (x*+5)/ (х+3) (iї)…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: ) Considering the implicit function x³-6y²=88, find dy/dx b) Find an equation of the tangent to…

A: Explanation of the answer is as follows

Q: The Newton forward and backward formula can be used to obtained a formula for the numerical…

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Q: 50. y=Vx+Vx+

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 2.6 Can you show me the steps to solve the problem? Directions: Regard y as the independent variable…

A: Given that y as independent variable and x as dependent variableGiven equation

Q: 3) Find the derivatives of the following functions. Do not simplify your answer! d 3+ sec I d (b) -…

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Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: xArctanx - Invx² + 1 = y

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Q: p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

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Q: 2.5 Can you show me the steps to solve the problem? Directions: Find the derivative of the function.…

A: Here the given function is y = (cosx) /√1 + sinx . and we find the first derivative of the function:…

Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is  R(x) = 8x…

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Q: 6x? – y? = 5 - (a) Find y' by implicit differentiation. y = (b) Solve the equation explicitly for y…

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Q: 4x+3 J When solving for the second order derivative of f, it yields to f"(x) = X(Ax+B) Cx³ Suppose…

A: The given function is, fx=4x+3x Differentiating with respect to x,…

Q: Please I want solution of question 2.b with step by step. Many Thanks

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Q: 5. . e(2x- y) == 2x – y

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Q: 2. Given the function y = 2x? – 4x + 6, (a) Find the difference quotient as a function of x and Ax.…

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Q: 25. y%3= Vx +1

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Q: 57. y= (x' +4)(x +1)(5x"-2) 2/3

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find f"(x). 5, f(x) = / (x² + 7) ª Tip: This question askes for second derivative. Mu

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Q: Ln (sin? (D-C)x) Find derivative of f(x) = %3D xD-C

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Q: Find the derivatives: Show steps. 1. y = cos(f(g(x?))) %3D

A: Here given that y and differential of this with respect to x .     We know. that. differential of…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.