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When multiplying exponents with same base you can add the exponents: $etxtx^2$
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$derivdef\left(etx^{3}t-2x-3\right)$
Learn how to solve problems step by step online. Find the derivative of f(x)=etxtx^2-2x+-3 using the definition. When multiplying exponents with same base you can add the exponents: etxtx^2. When multiplying two powers that have the same base (t), you can add the exponents. Find the derivative of et^2x^{3}-2x-3 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is et^2x^{3}-2x-3. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(et^2x^{3}-2x-3\right).