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How do I use the product rule for differentiation?

You should use the product rule when you have a function f(x), which you can't differentiate straight away. But which can be written in the form f(x)=g(x)h(x), where g(x) and h(x) are functions that you d...

Answered by Harry V. • Maths tutor

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Simultaneous equation: (x-3y)=9,(2x+3y)=0

Using one of the equations we express either x in the form of y, or y in the form of x. We then put this expression of x/y into the other equation. This allows us to calculate the numerical values of both...

Answered by Kerushan T. • Maths tutor

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y = 4(x^3) + 7x ... Find dy/dx

This is a simple differentiation question. To start, you need to know the general method of differentiation. This is:
if y = Axb then dy/dx = (A*b)x

Answered by Emilio E. • Maths tutor

3850 Views

ABCD is a rhombus on a graph. B(7,10). AC: y=7-4x. Find an equation for DB in the form tx+py+r=0 where t,p&r are integers.

AC and DB must be perpendicular therefore m₁m₂ = -1. (we can work out the gradient of DB)-4m₂ = -1 -----> m₂ = 1/4The equation of a line is y-y_...

Answered by Alexander L. • Maths tutor

3070 Views

Given that A(sin θ + cos θ) + B(cos θ − sin θ) ≡ 4 sin θ, find the values of the constants A and B.

Since this must be true for all values of θ, and cos and sin are distinct functions, no non-zero multiple of cosθ could ever be equal to 4 sinθ for all values of θ. Therefore, the overall multiple of cosθ...

Answered by David B. • Maths tutor

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