Given that y = 4x^5 - 5/(x^2) , x=/=0 , find a)dy/dx b)indefinite integral of y
rewrite as y = 4x^5 - 5x^(-2)
dy/dx = 20x^4 + 10x^(-3)
integral of y = 4x^6 / 6 + 5x^(-1) / 1 + c
simplify: 2/3 x^6 + 5/x
HD
Related Maths A Level answers
All answers ▸Show that r^2(r + 1)^2 - r^2(r - 1)^2 ≡ 4r^3.
A curve has equation x = (y+5)ln(2y-7); (i) Find dx/dy in terms of y; (ii) Find the gradient of the curve where it crosses the y-axis.
The point P (4, –1) lies on the curve C with equation y = f( x ), x > 0, and f '(x) =x/2 - 6/√x + 3. Find the equation of the tangent to C at the point P , giving your answer in the form y = mx + c. Find f(x)
Find the tangent to the curve y = x^3 - 2x at the point (2, 4). Give your answer in the form ax + by + c = 0, where a, b and c are integers.