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 ▸the line L goes through the points A (3,1) and B(4,-2). Find the equation for L.
Why does integration by parts work?
The line PQ is the diameter of a circle, where points P and Q have the coordinates (4,7) and (-8,3) respectively. Find the equation of the circle.
For which values of x is the following inequality satsified: x^2 + 6x + 6 < 1