$\text { Find } F ^ { \prime } ( x ) \text { given }$
$$F ( x ) = \int _ { x } ^ { x + 3 } ( 10 t + 1 ) d t$$
A) $F ^ { \prime } ( x ) = 1 + 10 t$
B) $F ^ { \prime } ( x ) = 1 + 10 x$
C) $F F ^ { \prime } ( x ) = 30$
D) $F F ^ { \prime } ( x ) = 48 + 30 x ^ { 2 }$
E) $F ^ { \prime } ( x ) = 48 + 30 t$

Question

$\text { Find } F ^ { \prime } ( x ) \text { given }$ 
$$F ( x ) = \int _ { x } ^ { x + 3 } ( 10 t + 1 ) d t$$
A) $F ^ { \prime } ( x ) = 1 + 10 t$
B) $F ^ { \prime } ( x ) = 1 + 10 x$
C) $F F ^ { \prime } ( x ) = 30$
D) $F F ^ { \prime } ( x ) = 48 + 30 x ^ { 2 }$
E) $F ^ { \prime } ( x ) = 48 + 30 t$

Quizplus · Accepted Answer

The Fundamental Theorem of Calculus, Part 1, states that if $F(x) = \int_a^x f(t) \ dt$, then $F'(x) = f(x)$. In this case, $f(t) = 10t + 1$, so $F'(x) = 10x + 1$.

Find F′(x) given \text { Find } F ^ { \prime } ( x ) \text { given } Find F′(x) given

$\text { Find } F ^ { \prime } ( x ) \text { given }$