Derivative of e^(x^2+9)
Answer
2*119696244^(-9-x^2)*325368125^(9+x^2)*x
Derivative of e^(x^2+9)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 2*119696244^(-9-)*325368125^(9+)*x
The derivative of e^(x^2+9) is 2*119696244^(-9-x^2)*325368125^(9+x^2)*x.
Instant step-by-step solution for e^(x^2+9)
Share this result
Derivative of e^(x^2+9) = 2*119696244^(-9-x^2)*325368125^(9+x^2)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-9
How to find the derivative of e^(x^2+9)
To find the derivative of e^(x^2+9), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 2^x
Solve d/dx 2^x
Derivative of e^(2x)
Solve d/dx e^(2x)
Derivative of e^(-x)
Solve d/dx e^(-x)
Derivative of e^x
Solve d/dx e^x
Derivative of x*e^x
Solve d/dx x*e^x
Derivative of 1-x
Solve d/dx 1-x
Derivative of 1/x
Solve d/dx 1/x
Derivative of 1/x^2
Solve d/dx 1/x^2
Derivative of 2x
Solve d/dx 2x
Derivative of 3x^2
Solve d/dx 3x^2
Frequently Asked Questions
What is the derivative of e^(x^2+9)?▼
The derivative of e^(x^2+9) is 2*119696244^(-9-x^2)*325368125^(9+x^2)*x.
How do you find the derivative of e^(x^2+9)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*119696244^(-9-x^2)*325368125^(9+x^2)*x.
Why is the derivative of e^(x^2+9) equal to 2*119696244^(-9-x^2)*325368125^(9+x^2)*x?▼
Because differentiation measures how a function changes — applying the rules to e^(x^2+9) yields 2*119696244^(-9-x^2)*325368125^(9+x^2)*x. See the full step-by-step breakdown above.