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How do I differentiate y=(4+9x)^5 with respect to x?

The method we use to differentiate this form of equation is called the chain rule. The chain rule is dy/dx = dy/du x du/dx We can rememeber the right way up of the terms on the right hand side by treating th...
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Answered by Jenny H. • Maths tutor
5645 Views

Find the solution(s) of 3(x^2)-6x+2=0

This is a quadratic equation and as such it has zero, one or two solutions depending on the value of the discriminant (b 2 -4ac). In this equation, a=3, b=-6 and c=2 so b 2 -4ac = 36-24=12. As this is >0 ...
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Answered by Angus S. • Maths tutor
4761 Views

How do you find the gradient of a parametric equation at a certain point?

The easiest way to see this is with an example. So let us take the curve: x = cos(2t) , y = sin(t) with a point P where t = pi/6 The gradient at any point is equal to the derivative of y with respect to x at...
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Answered by Alex D. • Maths tutor
25435 Views

What is dot product and how to calculate it?

There are two ways of multiplying vectors: one gives you another vector (cross product) and the other gives you a scalar- a number, like 3, 18 or 196 352. Hence, dot product is also called the scalar product...
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Answered by Filip W. • Maths tutor
9090 Views

Prove that the d(tan(x))/dx is equal to sec^2(x).

You can express tan(x) as sin(x)/cos(x). Therefore, tan(x)= sin(x)/ cos(x)The quotient rule can be applied here as there is a function of x in the numerator and denominator.Quotient Rule: (v*(du/dx) - u*(dv/...
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Answered by Chinazam U. • Maths tutor
19875 Views