Given that the function f (x) = 5x2 - 12. The derivative of the function f (x) at x = 3 is D. 5 E. 3 А. 33 В. 30 С. 15

Q: 2. Calculate the derivative of the following y= (*- 3 + Sx) B. Ytan (x+ Se-2) (4x + 3) Tx-2) A. C.…

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Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). e2x none of the choices et

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Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: 4. Find the second derivative for the following functions : a) y=(x+!)' (ans.:6x +6+ 12) x' b)…

A: (a)

Q: 1. The velocity of a rocket is given by v(t)= 2000 ln 14x10 14x10 – 2100t -9.8t,0sts30 where v is…

A: Given vt=2000ln14×10414×104-2100t-9.8t , 0≤t≤30 and t=16, ∆t=2 and True value = 29.674

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

Q: Find the derivative of the function.

A: Given, To evaluate derivative

Q: Given that g(x) = 2e*+5 + x+8 1 what is the anti-derivative of q(x) ? (Do not include the constant C…

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Q: Find the derivative of the function

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Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: Find the derivative of the following. g(x) (e2t + VE - t) dt g'(x)

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Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: Find the derivative of the function y = √(e2x + e−2x)

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Q: Which of the following is the derivative of the function h(y) = e°? On (y) = e³y Oh (1) = e Oh (y) =…

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Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

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Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: Given Graph,

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1. dy 3) Using…

A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

Q: 1. Find the (a) true error and (b) relative error of the following: 1. The derivative of /(x) = x +…

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Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (ans.: (3x-2) a)…

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Q: Given that h(x) = xi + what is the anti-derivative of h(x)? (Do not include the constant C'in your…

A: Anti-derivative

Q: Use forward-difference formula to evaluate the first derivative of y=x3−4y=x3−4 at x=0x=0 using a…

A: Given function is  y=x3−4. We have to evaluate the first derivative of y=x3−4 at x=0 using a value…

Q: I. Find the derivative of the following. Show that the applicable differentiat rules has been used.…

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Q: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: 3(34 to Y= ! 2% e dy

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Q: Evaluate the derivative of e22.1.png acos(b/x) f(x) = x2 if a = 73 and b = 0.7 at x = 5 using FDA…

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Q: -1 The derivative of the function y = sin Va at 1 is equal to 4

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Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

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Q: Find the derivative of y with respect to the independent variable. y = (In 20)" Select one: A. T(ln…

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Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: For the function y= 11 e 16 the second order derivative dz O lle - 32z3 O lle +32r O 12le -32z O 1le…

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Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: The only function whose derivative is itself is y = e*. a. True b. False because y = 2ex is another…

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Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: (-- If y = then the derivative of y with respect to r is:

A: y=x-1x-1To find dydx

Q: g. y = x e 2x h. y = 4sin 2x

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Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A: