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f(x) = e^(sin2x) , 0 ≤ x ≤ pi (a). Use calculus to find the coordinates of the turning points on the graph of y = f(x)

First, understand the concept of a turning point (zero gradient, implying first derivative is zero at the turning point)How do we differentiate exponentials ( if f(x) = e^g(x) then f'(x) = g'(x)*e^g(x) ) Oka...
MW
Answered by Marco W. • Maths tutor
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How do I solve simultaneous equations?

The elimination method 2x + 3y = 83x + 2y = 7 First we multiply one or both of the equations so that one of their like terms share the same coefficients. 2x + 3y = 8 (multiply by 3) -> 6x + 9y = 243x + 2y...
JG
Answered by Joe G. • Maths tutor
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Prove De Moivre's by induction for the positive integers

First we check the formula for our first case, n=1 where (cosx + isinx) n =cosnx + isinnx (cosx + isinx) 1 = cos(1x) + isin(1x) - holds true for n=1 next we assume true for our case n=k(cosx + isinx) k = cos...
HS
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Find the integral of (cosx)*(sinx)^2 with respect to x

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our U= ...
HS
Answered by Harry S. • Maths tutor
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What is the meaning of the word 'significance' in essay questions?

The word 'significance' is used in many exam questions in both English Literature, and can often be a complicated and confusing concept. For example, an English Literature essay question on The Taming of the...
MJ
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