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Find the tangent to the curve y = x^2 + 3x + 2 at x = 1

First, we differentiate y = x^2 + 3x + 2 to find the slope of the curve at any given x point: dy/dx = 2x + 3 So at x = 1, dy/dx = 2 + 3 = 5 We know that straight lines come in the form y = mx + c, and in thi...
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Answered by Samuel B. • Maths tutor
10426 Views

Differentiate: y = sin(2x).

Using the chain rule with u = 2x: y = sin(2x) becomes y = sin(u) dy/dx = dy/du * du/dx dy/du = cos(u) du/dx = 2 So dy/dx = dy/du * du/dx = 2 cos(u).
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Answered by Samuel B. • Maths tutor
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How can I solve a quadratic equation by factorisation?

There are many ways to solve quadratic equations including completing the square, factorisation and using the quadratic equation. Factorisation involves breaking the quadratic equation into two sets of brack...
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Answered by Tiarnan B. • Maths tutor
5286 Views

What is the difference between definite and indefinite integrals?

Definite integrals produces a numerical answer. It is asking the question: what is the area under the curve f(x) between x=a and x=b. Indefinite integrals produces a function. It is asking the question: what...
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Answered by Simeon H. • Maths tutor
7255 Views

explain and show how quadratic equations are solved

3 methods on syllabus: 1. Completing the square 2. Quadratic formula 3. Factorisation Methodology can be shown upon interview.
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Answered by Michael O. • Maths tutor
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