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f(x) = (4x + 1)/(x - 2) with x > 2. Find a value for 'x' such that f'(x) (first derivative of f(x) with respect to x) is equal to -1.

Re-write f(x) using indicies, so that the use of the product rule becomes more clear => f(x) = (4x + 1) *(x - 2)^-1 where ^ means 'raised to the power of' and * means 'multiplied by'.

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Answered by Zak S. • Maths tutor
4313 Views

Find the exact solutions for 4 − x^2 = |2x − 1|

x=-1

x=-1+6^0.5

Answered by Shroya V. • Maths tutor

5678 Views

What is a confidence interval?

Using the normal distribution, we can estimate a range of values which we expect to contain the mean. For example, if we take a sample of 30 students height, we can estimate the mean height of students in...

Answered by Alexander R. • Maths tutor

4088 Views

i) Simplify (2 * sqrt(7))^2 ii) Find the value of ((2 * sqrt(7))^2 + 8)/(3 + sqrt(7)) in the form m + n * sqrt(7) where n and m are integers.

i) (2sqrt(7))² = 2² sqrt(7)² = 4 * 7 = 28 (1 mark) ii) First of all substitute the answer from above. ((2 * sqrt(7))² + 8) / (3 + sqrt(7)) = (...

Answered by Andrew B. • Maths tutor

7207 Views

Find the equation of the tangent to the curve y = (5x+4)/(3x-8) at the point (2, -7).

Firstly, we need to find the gradient at this point on the curve as the tangent will have the same gradient. So to find the gradient of the curve or in other words, dy/dx, we differentiate the equation. T...

Answered by Manika S. • Maths tutor

3544 Views