Q2) By using Newton forward formula, evaluate the value of the derivative of the following equation at x= 6.6, then find the true relative error: F(x) = - 46 + 45,4 x – 13.8 x² +1,71 x³ – 0.0729 xª %3D |

Q: Using all your knowledge acquired in this unit during the last lectures, calculate the derivative of…

A: The given function equation is

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

A:

Q: Use the Product Rule to find the derivative == [( ²³ ²³² + ² × ³ ) ( ² − 4׳²)] · dx X Answer

A:

Q: b) Find the derivative of the following, 5√/2x4-1 x3 In √7x²+5 1. d dx

A:

Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

A:

Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

A:

Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

A:

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: b) Find the derivative of ľ 1 et In ydy.

A:

Q: Find the derivative of: Y = 1098 (√x² +1-x)

A: given  y=log8x2+1-xwe know  (i)  logab=logaloga(ii)  d dx(logx)=1x(iii)  d dx(xn)=nxn-1

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: