Find the Derivative - d/d@VAR f(x)=x^2-16/x

Problem

d()/d(x)*(x2−16/x)

Solution

1. Rewrite the expression to make differentiation easier by changing the fraction to a power with a negative exponent.

ƒ(x)=x2−16*x(−1)

2. Apply the power rule, which states that d(xn)/d(x)=n*x(n−1) to each term individually.

d(x2)/d(x)=2*x

d(−16*x(−1))/d(x)=(−16)*(−1)*x(−2)

3. Simplify the resulting expression by performing the multiplication and converting the negative exponent back into a fraction.

2*x+16*x(−2)

2*x+16/(x2)

Final Answer

d()/d(x)*(x2−16/x)=2*x+16/(x2)

Want more problems? Check here!