Derivative of e^(5x-4)
Answer
5*119696244^(-5*x+4)*325368125^(-4+5*x)
Derivative of e^(5x-4)
- 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: 5*119696244^(-+4)*325368125^(-4+)
The derivative of e^(5*x-4) is 5*119696244^(-5*x+4)*325368125^(-4+5*x).
Instant step-by-step solution for e^(5x-4)
Share this result
Derivative of e^(5x-4) = 5*119696244^(-5*x+4)*325368125^(-4+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-5x-minus-4
How to find the derivative of e^(5x-4)
To find the derivative of e^(5x-4), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of acos(x)
Solve d/dx acos(x)
Derivative of asin(x)
Solve d/dx asin(x)
Derivative of atan(x)
Solve d/dx atan(x)
Derivative of x^(1/3)
Solve d/dx x^(1/3)
Derivative of cos(2x)
Solve d/dx cos(2x)
Derivative of cos(x)^2
Solve d/dx cos(x)^2
Derivative of cos(x)
Solve d/dx cos(x)
Derivative of cosh(x)
Solve d/dx cosh(x)
Derivative of cot(x)
Solve d/dx cot(x)
Derivative of csc(x)
Solve d/dx csc(x)
Frequently Asked Questions
What is the derivative of e^(5x-4)?▼
The derivative of e^(5x-4) is 5*119696244^(-5*x+4)*325368125^(-4+5*x).
How do you find the derivative of e^(5x-4)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*119696244^(-5*x+4)*325368125^(-4+5*x).
Why is the derivative of e^(5x-4) equal to 5*119696244^(-5*x+4)*325368125^(-4+5*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(5x-4) yields 5*119696244^(-5*x+4)*325368125^(-4+5*x). See the full step-by-step breakdown above.