menu

arrow_back Using the rules of differentiation, determine the derivative of $ f(x)=\frac{x^2+9x+18}{x+3}$

by Platinum
(119,140 points)
in Mathematics
213 views
Using the rules of differentiation, determine  the derivative  of $ f(x)=\frac{x^2+9x+18}{x+3}$

1 Answer

Best answer
0 like 0 dislike
x+3)(x+6)/x+3 = x+6  factorize numerator then divide by common factor

then differentiate, 1x^(1-1) + 0

                       =1
by Diamond
(51,752 points)

Related questions


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Using the rules of differentiation, determine the derivative of $ f(x)=\frac{x^2+9x+18}{x+3}$
2 answers 339 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate \(\frac{d}{d x} f(x)\) using the rules for differentiation: \[ f(x)=-\frac{1}{2} x^{4}-2 x^{3}+\frac{1}{2} \sqrt{x^{5}} \]

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find \(\frac{d}{d x} f(x)\) using the rules for differentiation: \[ f(x)=-3 x^{2}-6 x+6 \]
1 answer 61 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Given: \[ a=\frac{1}{2} y^{3}+5 y+2 \] Determine \(\frac{d}{d y} a\) using the rules for differentiation.
1 answer 102 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find \(D_{x} h(x)\) using the rules for differentiation: \[ h(x)=6 x^{4}-6 x^{3}-5 x^{2} \]
1 answer 60 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find \(h^{\prime}(x)\) using the rules for differentiation: \[ h(x)=2 x^{2}+4 x-1 \]
1 answer 50 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Derive the differentiation formula \(\frac{d}{d x}[\arcsin x]=\frac{1}{\sqrt{1-x^{2}}}\).
0 answers 112 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What are the rules of differentiation?
1 answer 68 views
What are the rules of differentiation?What are the rules of differentiation? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 15
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is the list of basic differentiation rules?
1 answer 168 views
What is the list of basic differentiation rules?What is the list of basic differentiation rules? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Aug 29, 2020
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What are the quotient and product rules in differentiation?
1 answer 110 views
What are the quotient and product rules in differentiation?What are the quotient and product rules in differentiation? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics May 10, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Given: $f (x) = x3 – 7x^{2} + 36$. Determine the first derivative of $f$, and name it $g$.
2 answers 289 views
Given: $f (x) = x3 – 7x^{2} + 36$. Determine the first derivative of $f$, and name it $g$.Given: $f (x) = x3  – 7x^{2}  + 36$. Determine the first derivative of $f$, and name it $g$. ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Aug 8, 2019
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is Implicit Differentiation?
1 answer 107 views
What is Implicit Differentiation?What is Implicit Differentiation? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics May 10, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Prove that \(f(x)=\frac{1}{(x+1)^{2}}-2 x+\sin x\) has exactly one positive root.
0 answers 62 views
close

Q&A | Subjects | Request Private Tutor | eBook


Join the MathsGee Support Club where you get study and financial support for success from our community. LEARN - CONNECT - EARN


On the MathsGee Support Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Tip your favourite community member(s)


5. Create Live Video Tutorials (Paid/Free)


6. Join Live Video Tutorials (Paid/Free)


7. Earn points for participating



Posting on the MathsGee Support Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




Q&A RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


Q&A | Subjects | Request Private Tutor | eBook


MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Q&A | Subjects |Request Private Tutor | eBook