Let f(x) = Using the centered 3-point formula for 1st derivatives: %3D (x-2): f'(0) & 0.251255 using h = 0.1 f'(0) × 0.250313 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is:

Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

A:

Q: Compute the derivative of the given function. f(x) = 6x" + 3.9a6.7 + 76.7 Note: Use pi for T in your…

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Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

A:

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: (g) y = (x +3)10(x +1)(3–5r). (h) y = (cos x)".

A: To find the derivatve of each of the following functions.

Q: Let f (x) = (x+1)3 Using the centered 3-point formula for 1st derivatives: %3D f'(0) -0.502509 using…

A: At h= 0.1, f'(0) is approximately -0.502509At h= 0.05, f'(0) is approximately -0.500626

Q: а. f(-3) %— 4 b. f'(0) = %3D 3 2 c. f'(3) = %3D d. f'(2) -5 –4 –3 -2 –1 1 2 3 4 5

A: To find: f'(-3), f'(0),f'(3),f'(2) Given information: The graph of f(x) is shown below.

Q: Let f(x) = Using the centered 3-point formula for 1t derivatives: %3D (x-2) f'(0) 0.251255 using h =…

A: According to the Richardson's extrapolation formula, the true value of the derivative at any point x…

Q: Find the derivative of the given functions: 1. y = 6+ 4vx csc(x)

A: If u and v are functions of x, then

Q: Find the derivative of h(x) = O O a.) h'(x)= b.) c.) d.) ܝܕܝ h'(x) = h'(x) = h'(x)= 2 Waiting for…

A: Solve for the derivative

Q: Find the derivative of the function given below. h(w) = 9w arcsin w h'(w) =|0

A:

Q: pol Let f(x) = 5 sec x. Find the requested derivatives. f'(x) = %3D f" (x) = %3D

A: Explanation and solution is given below....

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: