Consider the function, \( f(x)=x^{3}-9 x^{2}+15 x+6 \) for \( 1 \leq x \leq 6 \) the following h... VIDEO
Consider the function, \( f(x)=x^{3}-9 x^{2}+15 x+6 \) for \( 1 \leq x \leq 6 \) the following holds good?
(a) \( g(x) \) is a differentiable at \( x=1 \)
(b) \( g(x) \) is discontinuous at \( x=6 \)
(c) \( g(x) \) is continuous and derivable at \( x=5 \)
(d) \( g(x) \) is monotonic in \( (1,5) \)
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-08 Comprehension:
: Let \( t \) be areal numbersatisfying
\( 2 t^{3}-9 t^{2}+30-\lambda=0 \) where ... 2023-06-08 Sketch the function, showing asymptotes the position and nature of any stationary points.
(a) \(... 2023-06-08 Consider a differentiable \( f: R \rightarrow \) for which \( f^{\prime}(0)=\ln 2 \) and \( f \)... 2023-06-08 Comprehension: \( \quad: \) Consider the real valued function \( f: R \rightarrow R \) defined a... 2023-06-08 The lower corner of a leaf in a book is folded over so as to just reach the inner edge of the pa... 2023-06-08 \( f:[0, \infty) \rightarrow R \) be a function satisfying \( f(x) e^{f(x)}=x \forall x \in[0, \... 2023-06-08 \( f(x) \) is a cubic polynomial such that \( f(3)=18, f(-1)=2 \) and \( f(x) \) has local maxim... 2023-06-08 Comprehension:
: Let \( y=f(x) \) satisfies a relation \( x y=x+y+1, x \in R-\{1\} \) and \( g(x... 2023-06-08 Comprehension: \( \quad: \) Consider the real valued function \( f: R \rightarrow R \) defined a... 2023-06-08 If \( f(x)=\frac{\sin \{x\}}{\{x\}} \) and
\[
h(x)=\left\{\begin{array}{ccc}
a+(\sin 1-1) x & : ... 2023-06-08 Consider the function, \( f(x)=x^{3}-9 x^{2}+15 x+6 \) for \( 1 \leq x \leq 6 \) the following h... 2023-06-08 Let \( f:(0, \infty) \rightarrow R, f(x)=f(x)=\left(\frac{x+1}{x}\right)^{\left(\frac{x+1}{2}\ri... 2023-06-08 \( f: R \rightarrow R, f(x) \) is a differentiable function such that all its successive derivat... 2023-06-08 Comprehension:
: Let \( y=f(x) \) satisfies a relation \( x y=x+y+1, x \in R-\{1\} \) and \( g(x... 2023-06-08 The points on the curve \( 5 x^{2}-8 x y+5 y^{2}=4 \) whose distance from the origin is maximum ... 2023-06-08 Let \( h(x)=f(x)-\{f(x)\}^{2}+\{f(x)\}^{3} \) for all real values of \( x \). Then This question... 2023-06-08 Identify the correct statement:
(a) A line meeting the curve only at one point is a tangent to t... 2023-06-08 \( f(x) \) is a twice differentiable function and \( g(x) \) is defined as \( \mathrm{g}(x)=\lef... 2023-06-08 Themass of a cell culture at time \( t \) is given by, \( M(t)=\frac{3}{1+4 e^{-1}} \)
(a) Find ... 2023-06-08 Number of non-similar isosceles triangles \( A B C \) such that tan \( A+\tan B+\tan C=100 \).
(... 2023-06-08 Match the following: For the functions \( f(x)=x^{4}(12 \operatorname{In} x-7) \) :
\begin{tabul...