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differentiate y = 4x^3(12e^-4x) with respect to x

y = 4x³e^-4x u = 4x³ v = e^-4x du/dx = 12x² dv/dx = -4e^-4x using the product rule; vdu +udv vdu + udv = 12x²e^-4x-...

Answered by Lewis M. • Maths tutor

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(A) express 4^x in terms of y given that 2^x = y. (B) solve 8(4^x ) – 9(2^x ) + 1 = 0

(A) express 4^x in terms of y given that 2^x = y. we know that 2² = 4....

Answered by Sadat T. • Maths tutor

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"Why is Mathematics important, I wont use any of it when I start work?"

This is a common question asked by young students and adults, which demotivates them to study and prevents passion from being the driving force during the tougher chapters. Mathematics is used in every in...

Answered by Ashish T. • Maths tutor

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Given that x = 1/2 is a root of the equation 2x^3 – 9x^2 + kx – 13 = 0, find the value of k and the other roots of the equation.

Firstly, we note that a 'root' is simply a solution of the equation (at least, in this case). Let's start from what we've been told: x = 1/2 is a root of the equation. Since it's a solution, let's sub it ...

Answered by Eugene L. • Maths tutor

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June 2008 C1 Paper Differentiation Question

a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perf...

Answered by Nicola G. • Maths tutor

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