Derivatives using tables Let

Question

Derivatives using tables Let $h(x)=f(g(x))$ and $p(x)=g(f(x))$ . Use the table to compute the following derivatives.

b. $h prime of 2$

Accepted Answer

Welcome back, everyone. Let F of X be equal to H of G of X. Calculate F at 0.0 using the following table. We're given 4 answer choices A -24, B-21, C7, and D 8. So first of all, we're given a composite function. Let's find its derivative. F of X is going to be equal to H G X multiplied by G of X based on the chain rule, right? So we're taking the outer function, it's derivative multiplied by the derivative of the inner function. And now, if we're looking at 0.0, we are simply getting F at 0 equals H G 0 multiplied by G at 0.0. So now what we're going to do is identify G at 0.0. So we're looking at the table, we identify G of X at 0.0. It is equal to 2. So we can now simplify the expression. F at 0.0 is H at 0.2 multiplied by G at 0.0. Now let's identify H at 0.2. Each prime at 0.2 based on the table is equal to 7. And we also need G at 0.0. So now G at 0.0 is -3. And then we have everything that we need, so F at 0.0 is simply 7 multiplied by -3. Which is -21. And this means that the final answer to this problem corresponds to the answer choice B. Thank you for watching.

Derivatives using tables Let $h(x)=f(g(x))$ and $p(x)=g(f(x))$ . Use the table to compute the following derivatives.
<IMAGE>
b. $h prime of 2$

Watch next

Derivatives using tables Let ﻿h(x)=f(g(x))h(x)=f(g(x))h(x)=f(g(x))﻿ and ﻿p(x)=g(f(x))p(x)=g(f(x))p(x)=g(f(x))﻿. Use the table to compute the following derivatives. <IMAGE>b. h′(2)h^{\prime}\left(2\right)

Watch next

Derivatives using tables Let $h(x)=f(g(x))$ and $p(x)=g(f(x))$ . Use the table to compute the following derivatives.
<IMAGE>
b. $h prime of 2$