find the derivatives of the following functions 1) x^3 + sinx
Answers
Answered by
0
Answer:
Let f(x)=sin(x+1)
Thus using first principle,
f
′
(x)=
x→0
lim
h
f(x+h)−f(x)
=
x→0
lim
h
1
[sin(x+h+1)−sin(x+1)]
=
x→0
lim
h
1
[2cos(
2
x+h+1+x+1
)sin(
2
x+h+1−x−1
)]
=
x→0
lim
h
1
[2cos(
2
2x+h+2
)sin(
2
h
)]
=
x→0
lim
[cos(
2
2x+h+2
)
(
2
h
)
sin(
2
h
)
]
=cos(
2
2x+0+2
)⋅1=cos(x+1)
Answered by
0
Answer:
let y=x^3+sin x
dy/dx=3x^2+cos x
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