What is the derivative of e^x-sin(x-1) ?

The derivative of e^x-sin(x-1) is e^x-cos(x)

What is the first derivative of e^x-sin(x-1) ?

The first derivative of e^x-sin(x-1) is e^x-cos(x)

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\frac{d}{d x} (e^{x} - sin (x) - 1)

e^{x} - cos (x)

Solution steps

\frac{d}{d x} (e^{x} - sin (x) - 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{x}) - \frac{d}{d x} (sin (x)) - \frac{d}{d x} (1)

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (1) = 0

= e^{x} - cos (x) - 0

Simplify

= e^{x} - cos (x)

(2 x + y + 1) \frac{d y}{d x} = 1

\frac{d}{d x} ((x^{2} + x + 1) e^{- x})

n \to \infty lim (2)

\int 6 sin^{3} (x co) s^{5} x d x

\frac{d}{d x} (\frac{( x ^{2} )}{( 1 + x )})

What is the derivative of e^x-sin(x-1) ?
The derivative of e^x-sin(x-1) is e^x-cos(x)
What is the first derivative of e^x-sin(x-1) ?
The first derivative of e^x-sin(x-1) is e^x-cos(x)