Give the first and second derivative of the function f(x) = 5/x - 9x + 4
- Re-write f(x) as f(x) = 5x^(-1) - 9x + 42) Find first derivative as usual - multiply each term by it's power and subtract 1 from the power:f'(x) = (-1)(5x^(-2)) - (1)(9)Simplify to get f'(x) = -5/x^(2) - 9Find second derivative using the same method:f'(x) = -5x^(-2) - 9f''(x) = (-2)(-5x^(-3))f''(x) = 10/x^(3)
HB
Related Maths A Level answers
All answers ▸Solve the inequality x < 4 - |2x + 1|.
We are given y=(x^2)+3x-5. Find the derivative of y in terms of x.
Find the equation of the tangent to the curve y = (2x -3)^3 at the point (1, - 1), giving your answer in the form y = mx + c.
What is the difference between differentiation and integration, and why do we need Calculus at all?