Question #b7bb9

2 Answers
Jun 6, 2017

The answer is 20.

Explanation:

The #d/dx# of the original function is 2x, using the power rule #nx^(n-1)# where n is our exponent. The derivative of -2 is zero the #d/dx# of a constant is always zero. Now we evaluate the #d/dx# at 10, so 2(10) = 20.

Jun 6, 2017

Answer: #20#

Explanation:

Find derivative of #f(x)=x^2-2# at #x=10#

First we need to find the derivative of #f(x)# by using the exponent rule which states that #d/(dx)x^n=nx^(n-1)# and the constant rule which states that #d/(dx)c=0# for constant #c#. So:
#f'(x)=2x#

Now to find #f'(10)# we plug #x=10# into the derivative function:
#f'(10)=2*10=20#

Therefore the derivative of #f(x)=x^2-2# at #x=10# is #20#.