What is the derivative of (xsinh(x+cos(x))^5) ?

The derivative of (xsinh(x+cos(x))^5) is 5(xsinh(x)+cos(x))^4(sinh(x)+xcosh(x)-sin(x))

What is the first derivative of (xsinh(x+cos(x))^5) ?

The first derivative of (xsinh(x+cos(x))^5) is 5(xsinh(x)+cos(x))^4(sinh(x)+xcosh(x)-sin(x))

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Popular >

\frac{d}{d x} ((x sinh (x) + cos (x))^{5})

5 (x sinh (x) + cos (x))^{4} (sinh (x) + x cosh (x) - sin (x))

Solution steps

\frac{d}{d x} ((x sinh (x) + cos (x))^{5})

Apply the chain rule:

5 (x sinh (x) + cos (x))^{4} \frac{d}{d x} (x sinh (x) + cos (x))

= 5 (x sinh (x) + cos (x))^{4} \frac{d}{d x} (x sinh (x) + cos (x))

\frac{d}{d x} (x sinh (x) + cos (x)) = sinh (x) + x cosh (x) - sin (x)

= 5 (x sinh (x) + cos (x))^{4} (sinh (x) + x cosh (x) - sin (x))

\int x sin (\frac{1}{10}) x d x

\int_{0}^{1} 2 π (x + 9) x^{2} d x

(1 + y) d x - (1 - x) d y = 0

x \to 10 lim (\frac{x}{2})

y = e^{7 x + 1}

What is the derivative of (xsinh(x+cos(x))^5) ?
The derivative of (xsinh(x+cos(x))^5) is 5(xsinh(x)+cos(x))^4(sinh(x)+xcosh(x)-sin(x))
What is the first derivative of (xsinh(x+cos(x))^5) ?
The first derivative of (xsinh(x+cos(x))^5) is 5(xsinh(x)+cos(x))^4(sinh(x)+xcosh(x)-sin(x))