1. If 𝑓(π‘₯) = 𝑒5π‘₯ Find the 8th derivative𝑓(8) (π‘...

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  5. 1. If 𝑓(π‘₯) = 𝑒5π‘₯ Find the 8th derivative𝑓(8) (π‘...

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1. If 𝑓(π‘₯) = 𝑒5π‘₯ Find the 8th derivative𝑓(8) (π‘₯). (Hint: Find 𝑓′ (π‘₯), 𝑓′′ (π‘₯),etc. and look for a pattern) 𝑓(8) (π‘₯) =? 2. Find the slope of the tangent line to the graph of the function 𝑓(π‘₯) = π‘₯𝑒π‘₯ At π‘₯ = 3 correct to two decimal places. The slope is:? 3. Find the derivative with respect to x of 𝑓(π‘₯) = (π‘₯ + 5)𝑒8π‘₯+9. 𝑓′ (π‘₯) =? 4. If 𝑓(π‘₯) = ln(π‘₯4 + 1) Find 𝑓′(7), correct to at least four decimal places. 𝑓′ (7) =? 5. If 𝑓(π‘₯) = ln(ln(x)) Find 𝑓′(3), correct to at least four decimal places 𝑓′ (3) =?

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