Answered: "Find the derivatives. f(x)=1(x+2)" - Plainmath

Armorikam

Answered question

2021-09-24

Find the derivatives.

f (x) = \frac{1}{(x + 2)}

Answer & Explanation

Liyana Mansell

Skilled2021-09-25Added 97 answers

Given function:

f (x) = \frac{1}{(x + 2)}

...(1)
Concept:

\frac{d}{d x} (\frac{u}{u}) = \frac{u \frac{d u}{d x} - u \frac{d u}{d x}}{u^{2}}

...(2)
In equation (1) u=1 & u=(x=2), apply formula (2).

\frac{d}{d x} (f (x) = f^{'} (x) = \frac{d}{d x} (\frac{1}{(x + 2)})

Step 2

= \frac{(x + 2) \frac{d}{d x} (1) - 1 \cdot \frac{d}{d x} (x + 2)}{{(x + 2)}^{2}}

= \frac{(x + 2) \times 0 - 1 \cdot 1}{{(x + 2)}^{2}}

= \frac{0 - 1}{{(x + 2)}^{2}}

f^{'} (x) = \frac{- 1}{{(x + 2)}^{2}}

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Calculus

What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in calculating partial derivatives of second and higher orders?
How do I find the y-intercept of a parabola?
What are the vertices of $9 x^{2} + 16 y^{2} = 144$ ?
How to determine the rate of change of a function?
Why are the tangents for 90 and 270 degrees undefined?
How to find the center and radius of the circle $x^{2} + y^{2} - 6 x + 8 y = 0$ ?
What is multiplicative inverse of a number?
How to find the continuity of a function on a closed interval?
How do I find the tangent line of a function?
How to find vertical asymptotes using limits?
How to find the center and radius of the circle $x^{2} - 12 x + y^{2} + 4 y + 15 = 0$ ?
Let f be a function so that (below). Which must be true?
I. f is continuous at x=2
II. f is differentiable at x=2
III. The derivative of f is continuous at x=2
(A) I (B) II (C) I and II (D) I and III (E) II and III
How to find the center and radius of the circle given $x^{2} + y^{2} + 8 x - 6 y = 0$ ?
How to find the center and radius of the circle $x^{2} + y^{2} + 4 x - 8 y + 4 = 0$ ?
How to identify the center and radius of the circle ${(x + 3)}^{2} + {(y - 8)}^{2} = 16$ ?

Didn't find what you were looking for?