WebJul 8, 2015 · 2. In plain english: you're differentiating e to the 'something': your answer is the derivative of 'something' times e to the 'something'. In this case, your 'something' is tanx. You correctly differentiated that to get sec2x, and hence the answer is etanxsec2x. EDIT: if you stick in your value of u, you get y = eu. WebSep 7, 2024 · We begin with the derivatives of the sine and cosine functions and then use them to obtain formulas for the derivatives of the remaining four trigonometric functions. …
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The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of sin(x) at a particular angle x = a is given by the cosine of that angle. WebGiven a function , there are many ways to denote the derivative of with respect to . The most common ways are and . When a derivative is taken times, the notation or is used. These … city of brantford yard waste collection
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WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. WebFind the Derivative - d/dx y=e^(tan(x)) Step 1. Differentiate using the chain rule, which states that is where and . Tap for more steps... To apply the Chain Rule, set as . Differentiate using the Exponential Rule which states that is where =. Replace all occurrences of with . Step 2. WebGiven a function , there are many ways to denote the derivative of with respect to . The most common ways are and . When a derivative is taken times, the notation or is used. These are called higher-order derivatives. Note for second-order derivatives, the notation is often used. At a point , the derivative is defined to be . donald trump offers to help