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

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

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

The first derivative of (x*sinh(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 \cdot 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))

\frac{d}{d x} (\frac{x + 6}{x ^{3} + x - 8})

x^{2} - 2 x - 1

\frac{( s + 4 )}{s ^{2} + 4 s + 29}

\int 1

4 sec^{2} (x) - 6 sec^{4} (x)

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