✥Applied mathematics one
Derivatives part Question
Let F(x)=f(2(g(x)) f(x)=x^4+x^3+1;0<=x<=3
find F'(3)=?
Hint:
g(x)=inverse of f(x)
.
Derivatives part Question
Let F(x)=f(2(g(x)) f(x)=x^4+x^3+1;0<=x<=3
find F'(3)=?
Hint:
g(x)=inverse of f(x)
.
🔥2
✥Applied
Derivative of inverse csc functions .
Y=csc⁻^1(secx) find dy/dx?
Hint:
csc⁻^1 means inverse of csc
.
Derivative of inverse csc functions .
Y=csc⁻^1(secx) find dy/dx?
Hint:
csc⁻^1 means inverse of csc
.
🤔2
FRESHMAN TIPS
✥Applied mathematics one Derivatives part Question Let F(x)=f(2(g(x)) f(x)=x^4+x^3+1;0<=x<=3 find F'(3)=? Hint: g(x)=inverse of f(x) .
✅Explanation👨🏽💼
Hint:
(f⁻)(x)=g(x)
f(a)=c ,(f⁻)'(c)=1/f'(a)
So, c=3 a=?
f(a)=a^4+a^3+1=3
a^4+a^3-2=0
a=1
f(1)=3
g(3)=(f⁻)(3)=1
g'(3)=(f⁻)'(3)=1/f'(1)=1/7
then,
F'(3)=2f'(2g(3))*(g'(3))
=2f'(2)*(1/7)
=88*1/7
=88/7
.
Hint:
(f⁻)(x)=g(x)
f(a)=c ,(f⁻)'(c)=1/f'(a)
So, c=3 a=?
f(a)=a^4+a^3+1=3
a^4+a^3-2=0
a=1
f(1)=3
g(3)=(f⁻)(3)=1
g'(3)=(f⁻)'(3)=1/f'(1)=1/7
then,
F'(3)=2f'(2g(3))*(g'(3))
=2f'(2)*(1/7)
=88*1/7
=88/7
.
🔥3👏1
FRESHMAN TIPS
✥Applied Derivative of inverse csc functions . Y=csc⁻^1(secx) find dy/dx? Hint: csc⁻^1 means inverse of csc .
✅Explanation
Hint:(csc⁻^1)'=
-f'(x) / f(x)sqrt((f(x)^2+1))
=-(secx)'/secx sqrt((secx)^2+1))
=-(-tanx secx) / secx sqrt(sec^2+1)
=tanx secx / secx tanx
=1
Hint:(csc⁻^1)'=
-f'(x) / f(x)sqrt((f(x)^2+1))
=-(secx)'/secx sqrt((secx)^2+1))
=-(-tanx secx) / secx sqrt(sec^2+1)
=tanx secx / secx tanx
=1
👍1👏1
Which perspective of state focuses on the role or purpose of the state institutions ?
Anonymous Quiz
8%
Idealist perspective
60%
Functionalist perspective
25%
Organizational perspective
7%
International perspective
"state is collection of institutions which are established and funded by public"is the view of......
Anonymous Quiz
17%
Idealist
15%
Functionalist
61%
Organizational
7%
International
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