alleryBy first principles, the derivative of $f$ at $x$ is $\displaystyle\lim_{h\to 0}$ of:
A$\dfrac{f(x)-f(x+h)}{h^2}$
B$f(x+h)-f(x)$
C$\dfrac{f(x+h)+f(x)}{h}$
D$\dfrac{f(x+h)-f(x)}{h}$
Answer & Solution
Correct answer: D. $\dfrac{f(x+h)-f(x)}{h}$
First-principle derivative: lim_{h→0} [f(x+h) − f(x)] / h.
Keep practising Unit 1B2: Algebraic Limits and Continuity
Browse all Unit 1B2: Algebraic Limits and Continuity questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
The decimal expansion of $\dfrac{257}{2^3 \cdot 5^4}$ terminates after how many decimal plThe product of the HCF and LCM of 6 and 20 is:Which of the following is an irrational number?The remainder when $2^{100}$ is divided by 7 isHow many positive integers less than 1000 are divisible by neither 2 nor 5?The HCF of two consecutive positive integers isIf $a = 2^3 \cdot 3^4 \cdot 5^2$ and $b = 2^4 \cdot 3^2 \cdot 7$, then $\dfrac{\text{LCM}(The smallest positive integer that is divisible by every integer from 1 to 10 is