10. Compute the central difference approximations of O(h^4 ) for the first derivative of y =cos(x) + sin(x) at x = π using a value of h = π/8.

Q: Use Implicit Differentiation, to compute (cos¬'(x)), to compute dx the derivative of sinh(t),

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Q: 2. Find the derivative of the following functions and write the down the inner and outer functions…

A: Solution: 2.(a) fx=2x5-4ex

Q: Let g(z) = 6e²+ 9 cos z Determine the derivative of g. g'(z) = 6e²-9 sin(z) ✓ Determine the…

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Q: Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+…

A: Central difference formula for derivative  f′(x)≈f(x+h)−f(x−h)2h.

Q: Compute the high-accuracy central difference approximation for the first derivative of y = cos x at…

A: There are three types of approximations to the derivative of a function f(x) at a point a. They are…

Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: 11. Estimate the approximate derivative of f(x) = sin²(x) at x = 0.45 radian, for h = 0.05 and 0.1…

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Q: 1. y = x³ (sin(lnx) - cos(lnx)) 2. y = ln 1+sinx 1–sinx (use properties of logarithms)

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Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

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Q: 5) Find the derivative of h(e) = tan 50.

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Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: 6. Find the derivative of the following (express answer in simplest form): 1+ sinx a. f(x) = In…

A: Topic = Derivative

Q: 1-Find the first derivative of the following function f( x) 5 cos (10x) + x' – 2x – 6x+ 10 For x=2…

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Q: se backward-difference formula to evaluate the first derivative of y = cos(x) at - using a value of…

A: Backward difference formula for the first derivativeGiven

Q: Compute the high-accuracy central difference approximation for the first derivative of the function…

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