Final answer:
The derivative of the function h(x) = 19(1.7^x) is 0.5306 * 19(1.7^x).
Step-by-step explanation:
The derivative of the function h(x) = 19(1.7^x) can be found using the power rule for derivatives. The power rule states that the derivative of a^x (where a is a constant) is given by (ln(a))(a^x). Applying this rule, we can find the derivative of h(x) as follows:
- Take the natural logarithm (ln) of the base, 1.7: ln(1.7) = 0.5306
- Multiply the result by the original function: 0.5306 * 19(1.7^x)
Therefore, the derivative of the function h(x) = 19(1.7^x) is 0.5306 * 19(1.7^x).