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Given the equation 0=5x^2+3xy-y^3 find the value of dy/dx at the point (-2,2)

To answer this we will use implicit differentiation with respect to x. So start by differentiating each term. On the left hand side 0 differentiates to 0. On the right hand side 5x2 differentia...

HW
Answered by Holly W. Maths tutor
3970 Views

Let f(x)=e^x sin(x^2). Find f'(x)

Since f(x) is a product of the two functions e^x and sin(x^2), we can use the product rule which states that if f(x)=g(x)h(x), then f'(x)=g'(x)h(x)+g(x)h'(x). Let g(x)=e^x and h(x)=sin(x^2). Since the dif...

MB
Answered by Michael B. Maths tutor
6602 Views

differentiate ln( x^2 )

ln is the natural log. The thing to remember with differentiating natural log is the simple formula U'/U. The U is whatever is in the brackets. This means we differentiate X^2 and divide it by X^2. X^2 ...

ET
Answered by Edward T. Maths tutor
14632 Views

What is the difference between potential energy and potential?

Potential is the potential energy per unit at a certain location. For example in a electric field the electric potential energy depends on both the location of the charge in the field and the charge we ar...

ET
Answered by Edward T. Physics tutor
2821 Views

What are the main similarities and differences between DNA and RNA?

-DNA and RNA are very similar in their molecular structure. Both of them are formed by smaller units called nucleotides. A nucleotide is composed by 3 parts: a sugar group, a phosphate group and a nitroge...

HD
Answered by Hossain D. Biology tutor
14695 Views

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