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Combining like terms $-3r$ and $8r$
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$derivdef\left(\frac{3}{2}+5r+\frac{5}{2}r\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 3/2-3r8r5/2r using the definition. Combining like terms -3r and 8r. Combining like terms 5r and \frac{5}{2}r. Find the derivative of \frac{3}{2}+\frac{15}{2}r 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 \frac{3}{2}+\frac{15}{2}r. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term \frac{15}{2} by each term of the polynomial \left(r+h\right).