Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

sum_(k=0)^(1)(2k-1)=

$\sum_{k=0}^{1}(2 k-1)=$

View step-by-step help

View step-by-step help

Find derivatives using the chain rule I

Full solution

Q.

\sum_{k=0}^{1}(2 k-1)=

Term Calculation for $k=0$ : The series is a finite sum with terms defined by the expression $(2k-1)$ for each integer value of $k$ from $0$ to $1$ . We will calculate each term separately and then add them together.
Term Calculation for $k=1$ : First, we calculate the term for $k=0$ . Substituting $k=0$ into the expression $(2k-1)$ gives us $(2\times 0-1)$ , which simplifies to $-1$ .
Sum of Terms for $k=0$ and $k=1$ : Next, we calculate the term for $k=1$ . Substituting $k=1$ into the expression $(2k-1)$ gives us $(2\times 1-1)$ , which simplifies to $1$ .
Simplified Sum: Now, we add the two terms together. The sum of the terms for $k=0$ and $k=1$ is $(-1) + (1)$ .
Simplified Sum: Now, we add the two terms together. The sum of the terms for $k=0$ and $k=1$ is $(-1) + (1)$ . The sum $(-1) + (1)$ simplifies to $0$ .

More problems from Find derivatives using the chain rule I

Question

Find the derivative of

f(x)

\newline

f(x) = \cos(x)

\newline

f'(x) =

Posted 1 month ago

Question

Find the derivative of

f(x)

\newline

f(x) = \tan(x)

\newline

f'(x) =

Posted 2 months ago

Question

Find the derivative of

f(x)

\newline

f(x) = e^x

\newline

f'\left(x\right) =

Posted 2 months ago

Question

Find the derivative of

f(x)

\newline

f(x) = \ln(x)

\newline

f'(x) =

Posted 2 months ago

Question

Find the derivative of

f(x)

\newline

f(x) = \tan^{-1}{x}

\newline

f'(x) =

Posted 2 months ago

Question

Find the derivative of

f(x)

\newline

f(x) = x e^x

\newline

f'\left(x\right) =

Posted 2 months ago

Question

Find the derivative of

f(x)

\newline

f(x) = \frac{e^x}{x}

\newline

f'(x) =

Posted 2 months ago

Question

Find the derivative of

f(x)

\newline

f(x) = e^{(x + 1)}

\newline

f'\left(x\right) =

Posted 1 month ago

Question

Find the derivative of

f(x)

\newline

f(x) = \sqrt{x+3}

\newline

f'(x) =

Posted 2 months ago

Question

Find the derivative of

g(x)

\newline

g(x) = \ln(2x)

\newline

g^{\prime}(x) =

Posted 3 months ago