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Add the values $1$ and $5$
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$derivdef\left(6+x^2-3x+4x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2-3x+14x+5 using the definition. Add the values 1 and 5. Combining like terms -3x and 4x. Find the derivative of 6+x^2+x 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 6+x^2+x. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2.