## Derivative of an inverse function.how to find the derivative of an inverse function example?What is the value of the d/dx [ f-1(x)] when x=2,given that f(x)= x3+x And f-1(2)=1

Function and the  inverse-function: A function f(x) is said to have  its inverse  say g(x) [ where g(x) = f-1 (x)] , if and only…

## Steps to find the true jet velocity .A jet is flying through a wind that is blowing with a speed of 40mph in the direction N10E.The jet has a speed of 625mph relative to the air, and the pilot heads the jet in the direction N20W.

This article covers the steps involved in finding the wind and jet vector. Following are the concepts covered and features of this article How to…

## Domain of a function.Steps to find the domain of a function.

Learning objectives: This article covers the steps involved in finding the domain of any function f(x). Following are the concepts covered and features of this…

## Find the parabola equation given the graph {Directrix y=5 and focus(4,-7)}

A parabola can be drawn given a focus of (4,-7) and a directrix y =5 . Write the equation of the parabola in any form.…

## Parabola Equation.Types of parabolic equations.

Learning objectives: This article explains one of the conic sections The PARABOLA  in detail. A brief  introduction on the  conics sections and types of conic…

## The quadratic equation x^2-2kx+(k-1)=0 has roots α and β such that α^2+β^2=4. (Solved:Sum and product of roots)

Question: The quadratic equation x^2-2kx+(k-1)=0 has roots α and β such that α^2+β^2=4. Without solving the equation, find the possible values of the real number…

## Given f(x) = e^(Kx)+x and f’0 =-8 . Find k (Solved:Differential calculus)

Question: Given f(x) = e^(Kx)+x and f’0 =-8 . Find k Answer: Thank you for sending your question! Given f(x)=e^(kx) +x  and f'(0)= -8 Let…

## (Solved Question)Function Operations | Real-World Profit Function

Question: Video games sold: x Revenue function: R(x) = 60x Cost function: C(x) = 12 + 7x Profit function: P(x) = Choices are:    67x+12,…

## Find all the ways you can use exactly 50 coins to make change for a \$1.00 bill.(I recommend starting with lot of pennies)

Find all the ways you can use exactly 50 coins to make a change for a dollar 1.00 bill. Solution:- Given that we can use…

## Two pipes can fill a tank in 76 minutes if both are turned on.If only one is used,it would take 27 minutes longer for the smaller pipe to fill

Two pipes can fill a tank in 76 minutes if both are turned on. If only one is used, it would take 27 minutes longer…