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Differentiate y = (x^2 + 1)^1/3

Use the chain rule to do this. First set u= x^2 + 1. We chose u to be this because u 1/3 is much simpler to differentiate. Then find du/dx = 2x. Now find dy/du = 1/3 * u -2/3 = 1/3 * (x 2 +1) -2/3 . Now by t...
WW
Answered by Will W. • Maths tutor
3806 Views

How do you work out the circumference and area of a circle?

When working with circles we use which is a number that stays the same no matter how big the circle. The number starts with 3.1415.... and goes on forever, this number is programmed into the calculator, so w...
NV
Answered by Nina V. • Maths tutor
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If f(x)=(4x^2)-(8x)+3, find the gradient of y=f(x) at the point (0.5,0)

When you see the question asking you to find the gradient at a point in the curve, the first thing you have to do is differentiate . This is because when we differentiate, we find the equation of the tangent...
GK
Answered by Girthanaah K. • Maths tutor
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You deposit 500 pounds at time t=0. At t=5 years, you have 800 pounds. The amount of money you have in the bank can be modeled as V(t)=A*(1+r)^t, where r is the interest rate. Find A and the interest rate r. After how many years will you have 1200 pounds.

At t=0, you deposit 500 pounds in the bank account: V(0)=500=A. At t=5, that amount of money is now, V(5)=800=500*(1+r)^5 i.e. 1+r = 1.6^(1/5) = 1.0986 (4dp) So the interest rate r is 9.86% (3 s.f.)Let T be ...
GA
Answered by Georgios A. • Maths tutor
3567 Views

Solve the inequality (9x+5)/12 > (4x+1)/3

(9x+5)/12 > (4x+1)/3**** Multiply up the denominator terms 3 (9x+5) > 12 (4x+1) * As 3 is a factor of 12, divide both sides by 3 9x+5 > 4 (4x +1) * Multiply out RHS 9x +5 > 16x + 4 * Gather like ...
FM
Answered by Frances M. • Maths tutor
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