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2 years ago

12

Find a linearization function at a suitably chosen integer near a at which the given function and its derivative are easy to eva

luate

1 answer:

baherus [9]2 years ago

5 0

Here it is: 2+3+4+5+6

You might be interested in

Find the derivative.

krek1111 [17]

Answer:

$\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

Expanding/Factoring

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \frac{\sqrt{x}}{e^x}$

<u>Step 2: Differentiate</u>

Derivative Rule [Quotient Rule]: $\displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}$
Exponential Differentiation: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}$
Simplify: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
Rewrite: $\displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}$
Factor: $\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

2 years ago

Hey guys it's been a while can you just help me with these two problems?

lutik1710 [3]

Answer:

Your already right on both of them lol

Step-by-step explanation:

Pls brainliest thx! :D

7 0

2 years ago

Read 2 more answers

I really need help.

Grace [21]

Answer:

6 centimeters

4 0

2 years ago

Sebuah Prisma Segitiga memiliki tiga sisi masing

Veseljchak [2.6K]

Menjawab:

15cm

Penjelasan langkah demi langkah:

Keliling segitiga adalah jumlah semua sisi segitiga

P = s1 + s2 + s3

Diberikan sisi jika segitiga;

S1 = 5cm

S2 = 7cm

S3 = 3cm

Keliling = 5cm + 7cm + 3cm

Keliling = 15cm

Oleh karena itu, keliling segitiga tersebut adalah 15 cm

5 0

2 years ago

A force of F = 1.12×104 Newtons does work of W = 1.18×106 Joules. What is the approximate displacement in meters (Displacement =

alexira [117]

Answer: 105.3 m

Step-by-step explanation:

Given

Applied force is $F=1.12\times 10^4\ N$

Work done is $W=1.18\times 10^6\ J$

Work done is given by the displacement done by the force.

$\Rightarrow W=F\cdot s\\\Rightarrow 1.18\times 10^6=1.12\times 10^4\cdot s\\\\\Rightarrow s=1.05\times 10^2\\\Rightarrow s=105.3\ m$

4 0

2 years ago

Read 2 more answers