find the derivative of y with respect to x.\ny = 19^x\n\\frac{dy}{dx}=\\square
find the derivative of y with respect to x.\ny = 19^x\n\\frac{dy}{dx}=\\square
Answer
Explanation:
Step1: Recall the formula for derivative of (a^x)
The derivative of (y = a^x) with respect to (x) is (\frac{dy}{dx}=a^x\ln a), where (a>0,a\neq1). In the given function (y = 19^x), here (a = 19).
Step2: Apply the formula
Substitute (a = 19) into the formula (\frac{dy}{dx}=a^x\ln a). So (\frac{dy}{dx}=19^x\ln 19)
Answer:
(19^x\ln 19)