Solving: $\frac{d}{dx}\left(e^x\sin\left(y-1\right)+e^{-x}\cos\left(y-2\right)\right)$
Exercise
$\frac{dy}{dx}\left(e^x.\sin\left(y-1\right)+e^{-x}.\cos\left(y-2\right)\right)$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^xsin(y-1)+e^(-x)cos(y-2)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Applying the derivative of the exponential function. Applying the derivative of the exponential function.
Find the derivative d/dx(e^xsin(y-1)+e^(-x)cos(y-2)) using the sum rule
Final answer to the exercise
$e^x\sin\left(y-1\right)-e^{-x}\cos\left(y-2\right)$