Finding the Normal Equation for a Curve at a Given Point

Thread starter koolkris623
Start date Oct 16, 2007
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Calculas Derivatives

In summary, a Calculus Derivative check is a method used to verify the accuracy of a derivative calculation by comparing results from alternate methods. It is important to check derivatives in Calculus to identify errors and improve problem-solving skills. Common methods for derivative checks include the power rule, product rule, quotient rule, chain rule, limit definition, and graphing techniques. It is recommended to perform a derivative check when unsure or after solving a challenging problem. Some mistakes to watch out for include algebraic errors, incorrect application of rules, and mistakes in the original function. Paying attention to signs and constants is also crucial during a derivative check.

Oct 16, 2007

koolkris623

Find the equation of the line normal to the curve at (0,0). (Normal lines are perpendicular to the tangent lines)

2y + sinx = xcoxy

I found the derivative to be (cosy - cosx)/ (2+ xsiny)

then the slope tangent is 0...then the slope perpendicular to it is undefined...so then is the normal equation..x=0?

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Oct 16, 2007

Dick

Science Advisor

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That looks ok to me.

What is a Calculus Derivative check?

A Calculus Derivative check is a method used to verify the accuracy of a derivative calculation. It involves using alternate methods or techniques to calculate the derivative and comparing the results to ensure they are consistent.

Why is it important to check derivatives in Calculus?

Checking derivatives is important because it helps to identify any errors or mistakes in the original calculation. It also provides an opportunity to understand the concept better and improve problem-solving skills.

What are some common methods used for Calculus Derivative checks?

Some common methods used for Calculus Derivative checks include the power rule, product rule, quotient rule, and chain rule. Additionally, you can use the limit definition of a derivative or graphing techniques.

When should you perform a Calculus Derivative check?

It is recommended to perform a Calculus Derivative check whenever you are unsure about the accuracy of your derivative calculation. This could be after solving a particularly challenging problem or when the result seems unusual.

What are some mistakes to watch out for when checking derivatives in Calculus?

Some common mistakes to watch out for when checking derivatives in Calculus include algebraic errors, incorrect application of rules, and mistakes in the original function. It is also essential to pay attention to signs and constants when performing a derivative check.