Question
Asked Oct 17, 2019
1 views
22. Find f/(x) and simplify
1
-1
a) f(z)
3-52+1
3
b) f(x)
1.8Vc) f(x) =
32
help_outline

Image Transcriptionclose

22. Find f/(x) and simplify 1 -1 a) f(z) 3-52+1 3 b) f(x) 1.8Vc) f(x) = 32

fullscreen
check_circle

Expert Answer

Step 1

Given, functions

(a): f(x)=
-5xr +1
(a) f(x)
3
+1.8r
(b): f(x)
V
(c):f(x)
en
help_outline

Image Transcriptionclose

(a): f(x)= -5xr +1 (a) f(x) 3 +1.8r (b): f(x) V (c):f(x) en

fullscreen
Step 2

Differentiate above functions one by one with respect to x,

Part (a):

f(x)=x-51
d
x3
dx 3
-5x2 1
f(x)
d1
d
d
(5.x
dx
dx3
dx
3.3x(5.2x)+0
f"(x)=x-10x
help_outline

Image Transcriptionclose

f(x)=x-51 d x3 dx 3 -5x2 1 f(x) d1 d d (5.x dx dx3 dx 3.3x(5.2x)+0 f"(x)=x-10x

fullscreen
Step 3

Part (b)...

3
f(x)
+1.8
f'(x)=
+1.8/x
-1
3x3 1.8x3
dx
3.x
dx
1.8x3
dx
-1
= 3
3
1
1.8
3
d
dx
L'(x) = -x ,
0.6x
help_outline

Image Transcriptionclose

3 f(x) +1.8 f'(x)= +1.8/x -1 3x3 1.8x3 dx 3.x dx 1.8x3 dx -1 = 3 3 1 1.8 3 d dx L'(x) = -x , 0.6x

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Suppose f (x) = (x 2 − 2x) (3x + 2).What is the equation of the line normal to f(i.e., the line perp...

A: Click to see the answer

question_answer

Q: If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f ...

A: Click to see the answer

question_answer

Q: A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observ...

A: A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observ...

question_answer

Q: Can you help me step by step?

A: The given function is

question_answer

Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 5% of the drug ...

A: Given,           A patient is administered a dose of 70mg of a drug and the body naturally disposes ...

question_answer

Q: A function f is given, and the indicated transformations are applied to its graph (in the given orde...

A: Consider the graph for f(x)=|x| in rectangular co-ordinate system.

question_answer

Q: diffrentiate

A: Click to see the answer

question_answer

Q: Let g(x)=   (49x2 − 9)^1/2 The function g is increasing on the following interval(s):   (−∞...

A: When g'(x)>0 then the function will be increasing and when g'(x)<0 then the function will be d...

question_answer

Q: As a fungus​ grows, its rate of growth changes. Young fungi grow​ exponentially, while in larger fun...

A: The function R(t) represents the model of rate of growth of fungus as a function of time.