Right Hand Derivative

Introduction to right hand derivative:

In calculus (a branch of mathematics) the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity. The process of finding a derivative is called differentiation. I like to share this What is Derivative with you all through my article. (Source: Wikipedia).

Derivative formulas:

`(d / dx)` (xn) = nx(n - 1)
`(d / dx)` (ax) = a
`(d / dx)` (constant) = 0

Example Problems for Right Hand Derivative

Right hand derivative example problem 1:

Find the first derivative of the given function f(x) = 14x7 + 131x2 - 323x

Solution:

Given function is f(x) =  14x7 + 131x2 - 323x

Differentiate the right hand side value of the given function with respect to x, we get

f'(x) = (14 * 7)x6 + (131 * 2)x - 323

= 98x6 + 262x - 323

Answer:

The final answer is 98x6 + 262x - 323

Right hand derivative example problem 2:

Find the first derivative of the given function g (x) = 47y2 + 6y4

Solution:

Given function is g (x) = 47y2 + 6y4

Differentiate the right hand side value of the given function with respect to y, we get

g' (x) = (47 * 2)y + (6 * 4)y3

= 24y3 + 94y

Answer:

The final answer is 24y3 + 94y

Right hand derivative example problem 3:

Find the first derivative of the given function g (x) = 52y5 - 42y2 + 112y

Solution:

Given function is g (x) = 52y5 - 42y2 + 112y

Differentiate the right hand side value of the given function with respect to y, we get

g' (x) = (52 * 5)y4 - (42 * 2)y + 112

= 260y4 - 84y + 112

Answer:

The final answer is 260y4 - 84y + 112.I have recently faced lot of problem while learning free math word problems for 2nd grade, But thank to online resources of math which helped me to learn myself easily on net.

Practice Problems for Right Hand Derivative

Right hand derivative  practice problem 1:

Differentiate the given function g(x) = x3 + 12x2 - x. Find g'(x)

Answer:

The final answer is 3x2+ 24x - 1

Right hand derivative  practice problem 2:

Find the derivative value of the function f(x) = x2 + 232x

Answer:

The final answer is `f' (x) = 2`x + 232