Find the derivative for y=5x^3-2x^2+7x-15
To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step.
So 5x3 would be differentiated to 15x2. Repeat this for the other terms and you get -4x and +7 (since x1 differentiates to x0 which equals 1). Since -15 is not a term of x it differentiates to 0.
So this equations differentiates to 15x2-4x+7
TM
Related Maths A Level answers
All answers ▸How do I rationalise the denominator of a fraction which consists of surds?
Can you please explain how to expand two brackets, eg. (3x-7)(5x+6)
given that y = 1 when x = π, find y in terms of x for the differential equation, dy/dx = xycos(x)
How do I solve a quadratic equation?