Derivative of x^9*cosh(x)

Answer

9 \cdot \mathrm{cosh}\left(x\right) \cdot x^{8}+\mathrm{sinh}\left(x\right) \cdot x^{9}

Derivative of x^9*cosh(x)

Rule Used: Product Rule
Steps: Identify a product of two functions of x in $x^9$ * $\cosh(x)$ : use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
Differentiate each factor and combine.
Final answer: $9 \cdot c$ osh(x)* $x^8$ + $\sinh(x)$ * $x^9$

The derivative of x^9*cosh(x) is 9*cosh(x)*x^8+sinh(x)*x^9.

Instant step-by-step solution for x^9*cosh(x)

Derivative PolynomialBeginner

Share this result

Share on X

Derivative of x^9*cosh(x) = 9*cosh(x)*x^8+sinh(x)*x^9 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-9coshx

How to find the derivative of x^9*cosh(x)

To find the derivative of x^9*cosh(x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

Practice More Problems

Derivative of cos(x)^2

Solve d/dx cos(x)^2

Derivative of cos(x)

Solve d/dx cos(x)

Derivative of cosh(x)

Derivative of sin(2x)

Solve d/dx sin(2x)

Derivative of sin(x)^2

Solve d/dx sin(x)^2

Derivative of sin(x)

Solve d/dx sin(x)

Derivative of sinh(x)

Solve d/dx sinh(x)

Frequently Asked Questions

What is the derivative of x^9*cosh(x)?▼

The derivative of x^9*cosh(x) is 9*cosh(x)*x^8+sinh(x)*x^9.

How do you find the derivative of x^9*cosh(x)?▼

Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 9*cosh(x)*x^8+sinh(x)*x^9.

Why is the derivative of x^9*cosh(x) equal to 9*cosh(x)*x^8+sinh(x)*x^9?▼

Because differentiation measures how a function changes — applying the rules to x^9*cosh(x) yields 9*cosh(x)*x^8+sinh(x)*x^9. See the full step-by-step breakdown above.

Support via PayPal

Support free development ❤️