d/dx(sinx)
To find the derivative of sin(x) with respect to x, we can use the derivative formula for trigonometric functions
To find the derivative of sin(x) with respect to x, we can use the derivative formula for trigonometric functions.
The derivative of sin(x) is given by:
d/dx(sin(x)) = cos(x)
So, the derivative of sin(x) with respect to x is cos(x).
This result can be obtained using the chain rule of differentiation. The chain rule states that if y = f(u) and u = g(x), then dy/dx = f'(u) * g'(x). In this case, f(u) = sin(u) and u = x. Using the chain rule, we get:
d/dx(sin(x)) = cos(x) * d/dx(x) = cos(x) * 1 = cos(x)
Hence, the derivative of sin(x) with respect to x is cos(x).
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