How do you differentiate y= 2x^4 - 2x^3 - 8y=2x4−2x3−8?
3 Answers
May 31, 2018
Explanation:
"differentiate using the "color(blue)"power rule"differentiate using the power rule
•color(white)(x)d/dx(ax^n)=nax^(n-1)∙xddx(axn)=naxn−1
dy/dx=8x^3-6x^2-0=8x^3-6x^2dydx=8x3−6x2−0=8x3−6x2
May 31, 2018
Explanation:
The key to differentiating polynomials is using the Power Rule. Here, the coefficient comes out front, and the exponent gets decremented by one. Here's how this looks mathematically:
Also recall that the derivative of a constant is zero. Applying this, we get