SW Solve for the first derivative of ,(x+5) x' +e x³ +e + Vx f (x) = V0.1 at x= 0.05 using FCD BCD and CCD with a step size of 0.008 and find the relative error Solve for the second derivative of x' +e(x+5) + f (x) = Vo.1 at x= 0.1 using central difference with a step size of 0.005 and find the relative error

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

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Q: f''(x)=3x+3 and f′(-2)=4 and f(−2)=1 Find f'(x) and find f(3)

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Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

Q: F''(x)=6x+4 and f'(-3)=-2 and f(-3)=-1 Find f'(x)= and find f(2)=

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Q: what is the rate of change of p when t=6 p(t)= ((10t)/t^2+110))+0.14  I dont know how to find the…

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Q: If x = t^2 + 1 and y = t^3, then the second derivative is? (Show your complete solution). a. 3/(4t)…

A: Given that,   x=t2+1 and y=t3

Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: 8.) FIND ALL DERIVATIVES OF y^(n) OF THE FUNCTION y = square root of (x+5).

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Q: find the derivative of  a. f(x)=x/x^2+(square root of 3x)^5 b. f(x)= (x-1)^3/x(x+3)^4

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Q: n'(x) = Find the derivative of n(x) = (13x + 4) (x³ + √√x)

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Q: the derivative of a function f is given by f'(x)=((x^4)-1)/x^2. if f(1)=2, what is the value of…

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Q: 5. Given the following data

A: Given, x 1.00 1.05 1.10 1.15 1.20 1.25 1.30 f(x) 1.0000 1.02470 1.04881 1.07238 1.09545 1.11803…

Q: (x) =√1/x^3

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

Q: Assume a function such that Y = (2x410)/(6x² + 5x). Obtain the first derivative. O f'(X) = (8x³ -…

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Q: Find the third derivative of g(t) = t^2(2t+5)^4

A: Given that: The equation g ( t ) = t2 2t + 54 .

Q: if x=t^2+1 and y=t^3, then the second derivative is?

A: x=t^2+1⇒dx /dt​=2ty=t^3⇒dy/dt = 3t^2​

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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Q: The graph of a derivative f'(x) is shown. Given f(0)=50, determine the values. f(1)= f(2)= f(3)=…

A: Consider the derivative of the function f(x) given by f'(x). The area between the graph of the f'(x)…