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x^2: x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div: x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)
Differentiate using the Exponential Rule which states that d dx [ax] d d x [a x] is axln(a) a x ln (a) where a a = e e. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.
22 Απρ 2024 · For exercises 1 - 15, find \(f′(x)\) for each function. 1) \(f(x)=x^2e^x\) Answer: \(f'(x) = 2xe^x+x^2e^x\) 2) \(f(x)=\dfrac{e^{−x}}{x}\) 3) \(f(x)=e^{x^3\ln x}\) Answer: \(f'(x) = (3x^2\ln x+x^2)e^{x^3}\ln x\) 4) \(f(x)=\sqrt{e^{2x}+2x}\) 5) \(f(x)=\dfrac{e^x−e^{−x}}{e^x+e^{−x}}\) Answer: \(f'(x) = \dfrac{4}{(e^x+e^{−x})^2}\)
The Derivative Calculator supports computing first, second, …, fifth derivatives as well as differentiating functions with many variables (partial derivatives), implicit differentiation and calculating roots/zeros.
Learn how to solve problems step by step online. Find the derivative of 2e^x. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Applying the derivative of the exponential function.
4 Νοε 2016 · How do you differentiate y = 2ex? You should know that the exponential function , ex where e is Euler's Number (2.7182 ...), is the only function that remains unchanged when differentiated. i.e d dx (ex) = ex.
