Find the Derivative - d/dx (x^2+1)(x^2-1)

Problem

d()/d(x)*(x2+1)*(x2−1)

Solution

1. Simplify the expression before differentiating by recognizing it as a difference of squares.

(x2+1)*(x2−1)=(x2)2−(1)2

=x4−1

2. Apply the power rule to each term of the simplified expression.

d(x4)/d(x)=4*x3

d(1)/d(x)=0

3. Combine the results to find the final derivative.

d()/d(x)*(x4−1)=4*x3−0

=4*x3

Final Answer

d()/d(x)*(x2+1)*(x2−1)=4*x3

Want more problems? Check here!