Search over 10,000 free study notes

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...

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 ...

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...

-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...

To differentiate y, we must used the product rule.The product rule is d/dx [f(x)g(x)] = f'(x)g(x) + g'(x)f(x)So here, we let f(x)= x^3 and g(x)= sin(x)Then, f'(x)= 3x^2 and g'(x) = cos(x)Then substituting...