Use the given information to find f '(8).
f(x) = 9g(x) + h(x)
g(8) = 1 and g'(8) = 5
h(8) = 8 and h'(8) = -3
f'(8)=
Don’t read these stupid answers because they “say” they have the answer but don’t.
To find f'(8), we will use the sum rule and the given information.
According to the sum rule, if f(x) = 9g(x) + h(x), then f'(x) is equal to the sum of the derivatives of 9g(x) and h(x).
Given that g(8) = 1, g'(8) = 5, h(8) = 8, and h'(8) = -3, we can substitute these values into the expression for f'(x).
So, f'(8) = [9g'(8)] + h'(8)
f'(8) = [9(5)] + (-3)
f'(8) = 45 - 3
f'(8) = 42
Therefore, f'(8) = 42.
To find f'(8), we need to apply the rules of differentiation to the given function f(x) = 9g(x) + h(x).
First, let's find the derivative of g(x) at x = 8 using the information given: g'(8) = 5.
Next, let's find the derivative of h(x) at x = 8 using the information given: h'(8) = -3.
Now, we can find the derivative of f(x) using the sum rule of differentiation, which states that the derivative of the sum of two functions is equal to the sum of their derivatives.
f'(x) = 9g'(x) + h'(x)
Substituting the values we found earlier:
f'(8) = 9 * g'(8) + h'(8)
= 9 * 5 + (-3)
= 45 - 3
= 42
Therefore, f'(8) = 42.
well, clearly, since
f = 9g+h
f' = 9g'+h', so
f'(8) = 9g'(8)+h'(8) = 9*5-3 = 42
Of course -- that's the answer to the Ultimate Question of Life, the Universe, and Everything!
I suspect a typo, since g(8) and h(8) are not used, but maybe there are other related problems not posted.