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: Find the derivative of the given function at the given point. Let zª represent the principal value…

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

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Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: 2. Let f be defined by { x 0. f(x):= I 0 Using the definition of the derivative, verify if f has a…

A: We need to find derivative.

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: 9. Let f(x) = cos 2x. Calculate f(50) (x), the 50th derivative of f(x).

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Q: 7. Compute the derivative of y = tan-(Kr) 1. at the point r = K

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

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

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

A: Topic = Derivative

Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

Q: 2. Determine the derivative of the function f(x) = 2e* cos³ x. Leave answers in simplified factored…

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

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Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…