Compute forward difference approximations for the first derivative of the function, y = cos(sin(x)+ 1), at x = 1.05 using a value of Ay - 0.05

Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A:

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

A:

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

A:

Q: calculate the derivative with respect to x. sin(x + y) = x + cos y

A:

Q: Find the derivative of y = cos with respect to x. The derivative of y= cos with respect to x is

A: Given: y = cos-15x To find: Derivative of y with respect to x.

Q: (1+x²-1) y = tan²¹ / √₁+x²

A:

Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

A:

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: Find the derivatives of the functions

A:

Q: #4 y=sin(0.5√√x)/x at x = 1

A: dfdx=fx-fx-hhd2fdx2=fx-2fx-h+fx-2hh2 y=fx=sin0.5xxx=1h=0.25∴dfdx=fx-fx-hh          =f1-f1-0.250.25…