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Differentiate sin(x)cos(x) with respect to x?

You will have to use the Product Rule. The Product rule: when y=f(x)g(x), then dy/dx=f'(x)g(x)+f(x)g'(x). In this example, f(x)=sin(x) and g(x)=cos(x). Hence f'(x)=cos(x) and g'(x)=-sin(x). Using these an...

Answered by Matthew M. • Maths tutor

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Explain why Scandium is not considered a true transition metal.

By definition, to be a transition metal, is a d block metal, which forms at least one stable ion, with a partially filled 3d shell.
Scandium has one stable ion, Sc³⁺, which posses no 3d o...

Answered by Joe P. • Chemistry tutor

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Factorise fully 6xyz + 24x^2yz + 18xy^3z^2

So we need to find common factors for each term: 6xyz, 24x²yz and 18xy³z². Let's start with the numbers. Do the numbers 6, 24 and 18 have a common factor? Yes, 6 . If we t...

Answered by Tom L. • Maths tutor

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Solve the equation 3sinh(2x) = 13 - 3e^(2x), answering in the form 0.5ln(k). where k is an integer

We know that: sinh(2x) = 2sinh(x)cosh(x) , therefore the equation becomes 6sinh(x)cosh(x) = 13 - 3e^2xWe also know that sinh(x) = 0.5*[e^x-e^-x] and that cosh(x) = 0.5*[e

Answered by Matt H. • Further Mathematics tutor

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What are the major differences between the four gospels?

The four gospels of Mark, Matthew, Luke and John are our primary source for the life of Jesus of Nazareth and are often merged into a singular narrative in the public consciousness. A more careful study r...

Answered by Philip H. • Religious Studies tutor

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