Differentiate exponential functions, Mathematics

Assignment Help:

Differentiate following functions.

(a) R ( w) = 4^w - 5 log₉ w

(b) f ( x ) = 3e^x + 10x³ ln x

Solution : (a) It will be the only example which doesn't includes the natural exponential & natural logarithm functions.

R′ ( w) = 4^w ln 4 - (5/w ln 9)

(b) Not much to this one. Just recall using the product rule on the second term.

f ′ ( x ) = 3e^x + 30x² ln x + 10x³ ( 1 /x)

= 3e^x +30x² ln x + 10x²

Related Discussions:- Differentiate exponential functions

Simplify the logical expression, Simplify the logical expression X‾ Y‾ + X‾...

Simplify the logical expression X‾ Y‾ + X‾ Z + Y Z +Y‾ Z W‾ Ans: The K-Map for the following Boolean expression is described by the following diagram. The optimized expression

Fractions, how do you convert in a quicker way?

how do you convert in a quicker way?

Partial fractions - integration techniques, Partial Fractions - Integration...

Partial Fractions - Integration techniques In this part we are going to take a look at integrals of rational expressions of polynomials and again let's start this section out w

Limit problem, limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

Trigonometry identities, tan^2=(secx-1)(secx+1)

tan^2=(secx-1)(secx+1)

What was the dow at the end of the day after the 2% drop, The Dow Jones Ind...

The Dow Jones Industrial Average fell 2% presently. The Dow began the day at 8,800. What was the Dow at the end of the day after the 2% drop? The Dow lost 2%, so it is worth 9

Definition of logarithms, Q. Definition of Logarithms? Ans. A loga...

Q. Definition of Logarithms? Ans. A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = a y , then log a x

Direct variation, activity 6; it''s your turned

activity 6; it''s your turned

INTEGRAL CALCULUS, INTEGRATION OF 1/(1+3 SIN^2 x)

INTEGRATION OF 1/(1+3 SIN^2 x)

Probability exercise, 1. A psychologist developed a test designed to help p...

1. A psychologist developed a test designed to help predict whether production-line workers in a large industry will perform satisfactorily. A test was administered to all new empl

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages