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find an expression for the gradient of y=e^3.2x

find an expression for the gradient of y=e^3.2x

the answer is 3.2e^3.2x

but i don't understand why.
Reply 1
Find the differentiation of the equation
Original post by user987789
find an expression for the gradient of y=e^3.2x
the answer is 3.2e^3.2x
but i don't understand why.


To find the gradient, you need to differentiate the equation of the line, which is e^3.2x.
Normally, when differentiating e^x it stays the same, however because the power has a coefficient you need to multiply it by the powers derivative. So, you need to multiply e^3.2x by the derivitive of 3.2x, which is 3.2. Hence the answer is 3.2e^3.2x

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