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Find the equation of the tangent to curve y=5x^2-2x+3 at the point x=0

y=5x2-2x+3 Differentiate to find the equation of the gradient of the curve
dy/dx=10x-2 Substitute x=0 to find the gradient at the point x=0
dy/dx=-2

y=50^2-2

Answered by Maths tutor
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Expand 4e(e + 2)

4e^2 + 8e

Answered by Maths tutor
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Factorise and solve the quadratic : 3x^2 + 15x +18 = 0

First we look to see if there is a common factor in the equation. In this case there is a common factor of 3, therefore we can take 3 out as a factor. 3(x2 +5x +6) = 0
The inside of the br...

HW
Answered by Holly W. Maths tutor
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Solve the equation 2x^3 - 5x^2 - 4x + 3 = 0.

In order to answer this question, the expression on the left side of the equation needs to be factorised. This can be done in three stages. 1) finding a factor by subbing in common integers (0, +/- 1, +/-...

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Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.

The function y = (3x2+2x+5)10 is an example of a "function within a function", which means the thing in the brackets is a function itself, and it's being raised to the powe...

Answered by Maths tutor
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