Question

Find the derivative of 8 / (2+3e^(-x/2))

Answer 1

move the denominator to numerator, and use a power rule, or quotation rule

Answer 2

Could you show how to move the denom. to the num.?

Answer 3

Use the quotient rule.
\[\frac{d}{{dx}}\left( {\frac{{f\left( x \right)}}{{g\left( x \right)}}} \right) = \frac{{\frac{d}{{dx}}f\left( x \right)g\left( x \right) - f\left( x \right)\frac{d}{{dx}}g\left( x \right)}}{{g^2 \left( x \right)}}\]
Remember when differentiating the exponential term to use the chain rule!

Answer 4

Moving the denominator to the numerator is not a good idea since the denominator is a linear combination. Moving the denominator to the numerator only makes sense when the denominator is a product.

Answer 5

misplaced comma

Answer 6

understand that

1/x is the same as x^-1
by this knowledge, you can make use of the product rule

Answer 7

Could you show me what you got for the derivative please?

Answer 8

well well... could you show me your attempt at solving this problem?

Answer 9

i have no idea of what to do

Answer 10

my my.... then you have to go back from the very beginning

Answer 11

how about you read about the tangent problem, limits and then we will discuss this further

Answer 12

The denominator CANNOT be moved the the numerator as the denominator is a linear combination of terms.

Answer 13

that is some pretty BIG suggestion you have, young man

Answer 14

Do not move the denominator to the numerator. Use the quotient rule which I typed above. It is not possible to move a linear combination like that to the numerator. It MUST be a product of terms, not a sum.