Use three-point midpoint formula to evaluate the first derivative of y = x – 4 at x of h = 5. O using a value 49 10 4 1 2 4 4 3

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: Calculate the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

A:

Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

A:

Q: 5. y = xArcsinx + v1- x² a. Arcsin (x) b. Arctan (x) c. Arccsc (x) d. Arcsec (x)

A:

Q: compute the derivative

A:

Q: Evaluate the derivative of the function at the given point. 1 y = t= - 2 t+7' y' = (Type an integer…

A: The given function is, y=1t+7=t+7-1 The derivative of xn is nxn-1.

Q: find the first order derivative of y=sin 0.5√x/x at x=8, h=0.2 a. Forward difference B. Backward…

A:

Q: Given Derivative Sx) = 3x2 + 7x + 1

A: Given function: fx=3x2+7x+1 Basic concept: Here we shall use basic power rule. fx=cxnf'x=cnxn-1

Q: 3. Find the second derivative of y= xlnx

A:

Q: 8. Find the second derivative of the function: y= (X+1)-x+Y+2 sin ²x

A: The given function is  y=X+1·x+Y+2sin2x

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

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

A:

Q: Determine the derivative of the given function: ソ=c 3 y = e x2

A:

Q: 6 Find the derivative of y= In (cash (ax)) Find the derivative of y= sech" (e³x)

A:

Q: How to calculate?

A:

Q: 2. Find the derivative of A(x) = L% V1– x³dx

A:

Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³…

A:

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

A: