Final answer to the problem
$7+4x$
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Step-by-step Solution
Specify the solving method
1
Combining like terms $x$ and $6x$
$derivdef\left(2x^2+7x+3\right)$
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$derivdef\left(2x^2+7x+3\right)$
Learn how to solve problems step by step online. Factor the expression 2x^2+x6x+3. Combining like terms x and 6x. Find the derivative of 2x^2+7x+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 2x^2+7x+3. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term 7 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(2x^2+7x+3\right).
Final answer to the problem
$7+4x$