Obtain the derivative of the following function: f(x)=(2e^4x)/(√x)

Name: Solved: Obtain the derivative of the following function: f(x)=(2e^4x)/(√x) - MathMaster
Brand: MathMaster
Rating: 4.9 (96 reviews)

likes

481 views

Answer to a math question Obtain the derivative of the following function: f(x)=(2e^4x)/(√x)

$Expert avatar$

Seamus

4.9

98 Answers

$f '\left( x \right)=\frac{ \mathrm{d} }{ \mathrm{d}x} \left( \frac{ 2{e}^{4x} }{ \sqrt{ x } } \right)$

$f '\left( x \right)=\frac{ \frac{ \mathrm{d} }{ \mathrm{d}x} \left( 2{e}^{4x} \right) \times \sqrt{ x }-2{e}^{4x} \times \frac{ \mathrm{d} }{ \mathrm{d}x} \left( \sqrt{ x } \right) }{ {\sqrt{ x }}^{2} }$

$f '\left( x \right)=\frac{ 2{e}^{4x} \times 4\sqrt{ x }-2{e}^{4x} \times \frac{ \mathrm{d} }{ \mathrm{d}x} \left( \sqrt{ x } \right) }{ {\sqrt{ x }}^{2} }$

$f '\left( x \right)=\frac{ 2{e}^{4x} \times 4\sqrt{ x }-2{e}^{4x} \times \frac{ 1 }{ 2\sqrt{ x } } }{ {\sqrt{ x }}^{2} }$

$f '\left( x \right)=\frac{ 8x{e}^{4x}-{e}^{4x} }{ \sqrt{ x }x }$

Frequently asked questions (FAQs)

Find the derivative of f(x) = sin^2(x)cos(3x) at x = π/4.

Question: What is 0.625 as a percentage?

What is the derivative of the constant function f(x) = c with respect to x?

New questions in Mathematics

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?

Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places

2x-4y=-6; -4y+4y=-8

A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.