find the derivative of ( f(x) ).\n\n( f(x)=6^{x} )\n\n( f^{prime}(x)= )
find the derivative of ( f(x) ).\n\n( f(x)=6^{x} )\n\n( f^{prime}(x)= )
Answer
Explanation:
Step1: Apply the derivative formula for (a^x)
The derivative of (a^x) with respect to (x) is (a^x\ln(a)). Here (a = 6).
Step2: Substitute (a = 6) into the formula
(f(x)=6^x), so (f^{\prime}(x)=6^x\ln(6))
Answer:
(6^x\ln(6))