Chain Rule

Fun

100

How many bones are in the human body

206

200

Which planet is closest to the sun

Mercury

300

Which animal can't jump

Elephant

400

National animal of Scotland

Unicorn

500

Tell a joke to make me laugh

A joke that made me laugh

derivative

100

f(x)= (4x+3)³(2x+1) find f'(x)

f'(x)= 3(4x+3)²(4)(2x+1)+(2)(4x+3)³

200

y=e^8x-e+sin(x), find y'

y'= (8+sin(x))(e^8x-e+sin(x))

300

f(x)= (e^x)³, find f'(x)

f'(x)= 3(e^3x)

400

find the first derivative of the function f(x)= tan(3x²)

f'(x)= sec²(3x²)(6x)

500

Find the  derivative of f(x)= sec⁵(4x⁷+9)

f'(x)= 5sec⁴(4x⁷+9)sec(4x⁷+9)tan(4x⁷+9)(28x⁶)

finding y'

100

y=(32x⁴-6x³+x)³ find y'

y' =3(32x⁴-6x³+x)²(128x³-18x²+1)

200

y= (2x-1)²/(4+x²) find y'

y'= ([4+x²](2)(2x-1)(2)-(2x-1)²(2x))/(4+x²)²

300

y= tan(x²), find y'

y' = sec²(x²)(2x)

400

y= (3x²+6x+ln(4x²))/(sin(x²)) what is y'

y'= ([sin(x²)][6x+6+(2/x)])-([3x²+6x+ln(4x²)][cos(x²)](2x))

500

y= sin²([ln(x+2)]²), find y'

y'= 2sin([ln(x+2)]²)(cos([ln(x+2)]²)(2ln(x+2))(1/(x+2))

finding f'(x)

100

f(x)= (3x+1)², find f'(x)

f'(x)= 2(3x+1)(3)

200

f(x)= (3^x+8x)⁴+9, find y'

y' = 4(3^x+8x)³([ln(3)](3^x)+8)

300

y= (4x²+19x-3)^1/2, find y'

y'= (1/2)(4x²+19x-3)^-1/2(8x+19)

400

f(x)= (sinx-8x²)^-3 find f'(x)

f'(x)= -3(cosx-16x)/(sinx-8x²)⁴

500

f(x)= 15x⁴(3x+sin³(x³)), find f'(x)

f'(x)= 60x³(3x+sin³(x³))+15x⁴(3+(3sin²(x³))(cos(x³))3x²)