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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 5x 2 differentiates to 10x. B...
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Answered by Holly W. • Maths tutor
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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 differ...
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Answered by Michael B. • Maths tutor
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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 diffe...
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Answered by Edward T. • Maths tutor
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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 are c...
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Answered by Edward T. • Physics tutor
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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 nitrogenou...
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Answered by Hossain D. • Biology tutor
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