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

The derivative of e^{sin(sqrt(x-1)}) is (e^{sin(sqrt(x-1))}cos(sqrt(x-1)))/(2sqrt(x-1))

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

The first derivative of e^{sin(sqrt(x-1)}) is (e^{sin(sqrt(x-1))}cos(sqrt(x-1)))/(2sqrt(x-1))

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Popular >

\frac{d}{d x} (e^{s i n (x - 1)})

\frac{e ^{s i n (x - 1)} cos ( x - 1 )}{2 x - 1}

Solution steps

\frac{d}{d x} (e^{s i n (x - 1)})

Apply the chain rule:

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

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

\frac{d}{d x} (sin (x - 1)) = \frac{cos ( x - 1 )}{2 x - 1}

= e^{s i n (x - 1)} \frac{cos ( x - 1 )}{2 x - 1}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{s i n (x - 1)} cos ( x - 1 )}{2 x - 1}

\int_{2}^{5} x^{6} d x

x y^{^{'}} - 2 y^{^{'}} - (x - 2) cos (x) + y = 0

\int - 11 sec^{2} (x) d x

\int (100 - x)^{3} d x

f (x) = 3 x + 7

What is the derivative of e^{sin(sqrt(x-1)}) ?
The derivative of e^{sin(sqrt(x-1)}) is (e^{sin(sqrt(x-1))}cos(sqrt(x-1)))/(2sqrt(x-1))
What is the first derivative of e^{sin(sqrt(x-1)}) ?
The first derivative of e^{sin(sqrt(x-1)}) is (e^{sin(sqrt(x-1))}cos(sqrt(x-1)))/(2sqrt(x-1))