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How do I differentiate y = ln(sin(3x))?

So we initially have the relationship y = ln(sin(3x)). As the left hand side is a function of the variable y and the right hand side is a function of the variable x i.e they are implicitly related, we need t...
IW
Answered by Ifan W. • Maths tutor
20872 Views

What is the intergral of 6.x^2 + 2/x^2 + 5 with respect to x?

What is the intergral of 6.x^2 + 2/x^2 + 5 with respect to x ? To answer a question like this you would intergrate each phrase of the addition in turn with respect to x . To intergrate a single c.x^n phrase ...
TA
Answered by Tim A. • Maths tutor
6462 Views

How do I find the turning points of a curve?

At turning points, the gradient is 0. Differentiating an equation gives the gradient at a certain point with a given value of x. To find turning points, find values of x where the derivative is 0. Example: y...
SG
Answered by Shannon G. • Maths tutor
89189 Views

How do I solve equations like 3sin^2(x) - 2cos(x) = 2

To solve equations like this we need to get the equation in terms of one trigonometric function, ie one of sin(x), cos(x) or tan(x) It is usually easiest to get everything in terms of whatever the linear par...
EB
Answered by Elliot B. • Maths tutor
23173 Views

How do I prove that an irrational number is indeed irrational?

[NOTE: An irreducible fraction (or fraction in lowest terms) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1.] Given that p is a prime, positive in...
LD
Answered by Liam D. • Maths tutor
9746 Views