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Find the derivative of the function y = 3e^x. - YouTube
WebOct 6, 2024 · Answer: The derivative of e to the power -3x is -3e -3x. Proof: Let us use the logarithmic differentiation to find the derivative of e -3x. We put y = e -3x Taking logarithms with base e, we obtain that log e y = log e e -3x ⇒ log e y = -3x by the logarithm rule log e e a = a. Differentiating both sides with respect to x, we get that WebFeb 14, 2015 · 1 How to find the derivative of g ( x) = ( e − t + e t) 3 The answer in my math book is; 3 ( e − t + e t) 2 ( − e − t + e t) I've been stuck for days on these problems. By the answer I would assume there is a rule I am missing. I think I have all the rules for differentiation but none seem to apply. how many users is twitter losing
Derivative of e^-3x - Mathstoon
WebThe derivatives of the remaining trigonometric functions are as follows: d d x ( tan x) = sec 2 x (3.13) d d x ( cot x) = − csc 2 x (3.14) d d x ( sec x) = sec x tan x (3.15) d d x ( csc x) = − csc x cot x. (3.16) Example 3.43 Finding the Equation of a Tangent Line Find the equation of a line tangent to the graph of f ( x) = cot x at x = π 4. WebJan 2, 2016 · Let (3e−12t) = y and −12t = z, then the derivative is: dy dt = dy dt ⋅ dz dz = dy dz ⋅ dz dt Which means you differentiate e−12t as if it were ex (unchanged), then you differentiate z which is −12t and finally you multiply them. Answer link Webkubleeka. 3 years ago. The solution to a differential equation will be a function, not just a number. You're looking for a function, y (x), whose derivative is -x/y at every x in the domain, not just at some particular x. The derivative of y=√ (10x) is 5/√ (10x)=5/y, which is not the same function as -x/y, so √ (10x) is not a solution to ... how many users on blockfi