Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the following 3-point formula f(x+h) + 2f(x) – 3f(x – h) 4h with h = 0.5.

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

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Q: Solve for the 4th derivative of function K K= x3Cos√x

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Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: Use the u-substitution to find the anti-derivative of m'(x)= 1/xln(x)

A: solution :- antiderivative is the integration  So put ln(x)  = u Then (1/x )dx  = du And then…

Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the…

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: Find the derivative

A: The first derivative of f(x) is represented byf'(x) and the second derivative is represented by…

Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

A:

Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Use the alternative form of the derivative to find the derivative at x=c (If it exists)…

A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Use three-point midpoint formula to evaluate the first derivative of y = x – 4 at x of h = 5. O…

A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

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

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: Find the derivative with respect to x of 1 f(x) V3x + 9

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Let f(x) = (x² + 3x)e*. Determine the value of the third derivative of f(x) for x = 0.

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Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

A:

Q: Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

A:

Q: What is the 4th derivative at x = 0 of the function f(z) = (2r + 1)* %3D

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Q: Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈…

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Q: Find the weak derivative of f() = |x² – x + 1/5| on the 1) interval (0,1).

A:

Q: Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the…

A: given  fx=lnx f'x≈fx+h+2fx-3fx-h4h to find the actual error

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: Calculate the second derivative of the function y = f (x) defined by the equation x³ + y +3xy + 3y²…

A:

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

A:

Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

A:

Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

A:

Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

A:

Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: 4. F(x) = (1-t) dt

A: To find the first derivative

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

A:

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: y = V5х+7

A:

Q: In x 3. Compute the approximate derivative of f(x) = · at x = 2, using three-midpoint x² + 1 formula…

A: Given is a function and at a point at which the approximate value of first derivative of the…

Q: Evaluate the 3rd derivative of M with respect to (x) M= x6 y3 Cos (x6 y3) if x =6 and y= 3

A: The function is M=x6y3cosx6y3. Using implicit differentiation, find dydx.…

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

A:

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

A:

Q: Find the derivative of f(x)=

A: We use the quotient rule of logarithm to simplify the expression

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: 2. Determine the true error and the relative true error of the first derivative of f(x) = 2.5-* %3D…

A: Solution is below

Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

A:

Q: Use forward-difference formula to evaluate the first derivative of y = x² + 4x – 5 at a = 0 using a…

A: The forward difference formula is : f'(x)=f(x+h)-f(x)hWe have to find the first derivative of…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.