The following table lists the value of functions f and h, and of their derivatives, f' and h', for x = -1....

Question

The following table lists the value of functions f and h, and of their derivatives, f' and h', for x = -1. x f(x) h(x) f'(x) h'(x) -1 5 2 -3 -3 Evaluate d/dx [f(x) - 3h(x) + 1] at x = -1.

SnapAndSolve AI · Accepted Answer

To evaluate the derivative d/dx [f(x) - 3h(x) + 1] at x = -1, we use the linearity of derivatives:

The derivative of f(x) is f'(x).
The derivative of -3h(x) is -3h'(x).
The derivative of the constant 1 is 0.

Thus, d/dx [f(x) - 3h(x) + 1] = f'(x) - 3h'(x).

Substitute the given values for x = -1:

f'(x) = -3
h'(x) = -3

Therefore, f'(x) - 3h'(x) = -3 - 3(-3) = -3 + 9 = 6.

The value of the derivative at x = -1 is 6.

contact us

Contact Info

The following table lists the value of functions f and h, and of their derivatives, f' and h', for x = -1....

Answer

Have a similar question?

More math questions