Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the definition
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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Cancel exponents $2$ and $\frac{1}{2}$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\frac{x-16}{4}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x^2^1/2-16)/4 using the definition. Cancel exponents 2 and \frac{1}{2}. Find the derivative of \frac{x-16}{4} 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{x-16}{4}. Substituting f(x+h) and f(x) on the limit, we get. Combine \frac{x+h-16}{4}-\frac{x-16}{4} in a single fraction. Divide fractions \frac{\frac{x+h-16-\left(x-16\right)}{4}}{h} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.