Download App

DIFFERENTIATION — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsDIFFERENTIATION3 Marks
Question
Determine whether the function $ y=3+2x-7x^{2} $ is increasing or decreasing at $ x=-4 $ and $ x=4 $.
✓

Answer

$ f'(x) = 2 - 14x $
At $ x = -4 $: $ f'(-4) = 2 - 14(-4) = 2 + 56 = 58 > 0 $ (Increasing)
At $ x = 4 $: $ f'(4) = 2 - 14(4) = 2 - 56 = -54 < 0 $ (Decreasing)

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Each" from DIFFERENTIATION→DIFFERENTIATION — all question types→Statistics STD 12 Commerce question papers→Gujarat Board STD 12 Commerce question papers→Gujarat Board question paper generator→

Similar questions

If the regression line of Y on X is $\hat{y}=11+3x$ and $S_{x}:S_{y}=3:10$, find the coefficient of determination.
→
To know the relation between understanding of students in the subject of Mathematics and Statistics, a sample of eight students is taken and a test is considered for them. The marks obtained are given below. Find the rank correlation between the marks obtained in two subjects :
Marks in Mathematics6030102030503040
Marks in Statistics8020604012282015
→
$\lim _{x \rightarrow 2} \frac{x^3-8}{x^2-4}$
→
If three events $A, B$ and $C$ of a random experiment are independent events and $P(A) = 0.2, P(B) = 0.3$ and $P(C) = 0.5,$ then find $P(A ∪ B ∪ C).$
→
The information of price (in ₹) of a ball pen and the supply of ball pen (in units) at the end of each month of a year for a company making ball pen is given below. Estimate the supply of ball pen when its price is ₹ 40 :
DetailPrice (x)Supply (y)
Average30500
Variance2510000
r = 0.8
→
State properties of binomial distribution.
→
Fit a linear equation from the following data for variable $(y)$ of a time series: $n =5, \Sigma y =190, \Sigma$ ty $=602$.
→
State the method for obtaining the maximum and minimum values of a function.
→
Find the value of the following: $\lim _{x \rightarrow 5} \frac{x^{2}-3 x-10}{x+5}$
→
Two cards are drawn from a well shuffled pace of $52$ cards. Find the probability that $(1)$ both the cards are of different colour $(2)$ both the cards are face cards $(3)$ one of the two cards is a king.
→