Find the 3rd Derivative y=4x^3+5x^2

Problem

d3()/(d(x)3)*(4*x3+5*x2)

Solution

1. Find the first derivative by applying the power rule, d(xn)/d(x)=n*x(n−1) to each term of the function.

d(y)/d(x)=12*x2+10*x

2. Find the second derivative by differentiating the first derivative with respect to x

d2(y)/(d(x)2)=24*x+10

3. Find the third derivative by differentiating the second derivative with respect to x

d3(y)/(d(x)3)=24

Final Answer

d3()/(d(x)3)*(4*x3+5*x2)=24

Want more problems? Check here!