Question

differentiate the function with respect to x y=e^sinx

Answer 1

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Answer 2

SOLUTION

y=e^sinx

Differentiate w.r.t "x"

Derivative of the exponent "e" will remain the same,

dy/dx = e^sinx  d/dx(sinx)

dy/dx = e^sinx  (cosx)

So,

dy/dx = cosx (e^sinx)

DETAILED EXPLANATION OF THE METHOD

Differentiation is that the action of computing a by-product. The by-product of a perform y = f(x) of a variable x may be a live of the speed at that the worth y of the perform modifications with relation to the change of the variable x. it's referred to as the by-product of f with relation to x.

Differentiation and integration will facilitate North American country solve many sorts of real-world issues. we have a tendency to use the by-product to see the most and minimum values of explicit functions (e.g. cost, strength, quantity of fabric employed in a building, profit, loss, etc.).