Derivadas

ALGEBRAICAS

2

2x⁴+3x⁵

8x³+15x⁴

3

(sen(5x⁵))⁵

100x⁴(sen(5x⁵))⁴cos(5x⁵)

4

(ln(2x))³

3(ln(2x))²/x

5

cos(3x²)e^-4x

-4e^-4xcos(3x²)-6xe^-4xsen(3x²)

8

e^x/-2x

-2xe^x+2e^x/x²

TRIGONOMÉTRICAS

2

Sen(2X)

2Cos(2X)

3

cos(3x²)

-6xsen(3x²)

4

Tan(4x³+x)

(12x²+1)sec²(4x³+x)

5

(ln(cot(5x⁴+2x²)))

−(20x³+4x)csc²(5x⁴+2x²)/cot(5x⁴+2x²)

8

sec(x²e^x)

(2xe^x+x2e^x)sec(x²e^x)tan(x²e^x)

EXPONENCIALES

2

(e^2x)

2e^2x

3

e^{3x^2} 

6xe^{3x^2}

4

e^{4x^3+x}

(12x²+1)e^{4x^3+x}

5

e^{5x^4+ln(x)}

(20x³+1/x)e^{5x^4+ln(x)}

8

(e^{x^2e^x})

(2xe^x+x2e^x)e^{x^2e^x}

LOGARITMICAS

2

ln(3x)

1/x

3

ln(2x+1)

2/2x+1

4

ln(x²+4x)

2x+4/x²+4x²

5

ln(3x²+x)

6x+1/3x²+x

8

(ln(tan(x³+x)))

(3x²+1)sec²(x³+x)/tan(x³+x)

INVERSAS

2

(arccos(3x))

−3/(1−9x²)^1/2

3

arccos(2x)

−1/(1−4x²)^1/2

4

arctan(3x²)

6x/1+9x⁴

5

arcsin(e^x)

e^x/(1−e^2x)^1/2

8

arcsin(ln(x))

1/x(1+(ln(x))²)^1/2