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∫ Advanced Math
Derivative Solver
d/dx
Derivative Solver
Differentiate polynomials, trig & exponentials
Grades 11–12
Practice this:
Grade 12: Derivatives
Monomial
Sum of Terms
Trig
Exponential
ln(x)
Product Rule
Chain Rule
Coefficient (a)
Exponent (n)
Power Rule
f
(
x
)
=
3
x
4
f(x) = 3x^{4}
f
(
x
)
=
3
x
4
f
′
(
x
)
=
12
x
3
f'(x) = 12x^{3}
f
′
(
x
)
=
12
x
3
Steps:
Power Rule:
d
d
x
[
a
x
n
]
=
a
⋅
n
⋅
x
n
−
1
\text{Power Rule: } \frac{d}{dx}[ax^n] = a \cdot n \cdot x^{n-1}
Power Rule:
d
x
d
[
a
x
n
]
=
a
⋅
n
⋅
x
n
−
1
d
d
x
[
3
x
4
]
=
3
⋅
4
⋅
x
4
−
1
=
12
x
3
\frac{d}{dx}[3x^{4}] = 3 \cdot 4 \cdot x^{4-1} = 12x^{3}
d
x
d
[
3
x
4
]
=
3
⋅
4
⋅
x
4
−
1
=
12
x
3
Evaluate at x =
f(2)
48
f'(2) = slope at x=2
96
Tangent line at x = 2
slope=96