Question

solve d( 3x⁴ + 2x)/ dx​

Answer 1

Hey Buddy

Here's The Answer

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Basic rule of differentiation

d ( nxᵐ )/ dx = m × nxᵐ⁻¹

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d( 3x⁴ + 2x )/dx

=> d( 3x⁴ )/dx + d( 2x )/dx

=> 4 × 3x⁴⁻¹ + 2

=> 12x³ + 2

Hope It Helps.

Answer 2

$\implies \: \dfrac{d(3 {x}^{4} + 2x)}{dx}$

$\implies \: \dfrac{d(3 {x}^{4} )}{dx} + \dfrac{d(2x)}{dx}$

$\implies \: 3 \dfrac{d( {x}^{4} )}{dx} + 2 \dfrac{d(x)}{dx}$

We know that :-

d(x^n)/dx = n x^(n-1)

$\implies \:(3 \times 4 \times {x}^{3})+(2 \times 1)$

$\implies \:12 {x}^{3}+2$

Answer :

$12 {x}^{3}+2$

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Learn more :

d(sinx)/dx = cosx

d(cos x)/dx = -sin x

d(cosec x)/dx = -cot x cosec x

d(tan x)/dx = sec²x

d(sec x)/dx = secx tanx

d(cot x)/dx = - cosec² x

d(x^n)/dx = n x^(n-1)

d(log x)/dx = 1/x

d(e^x)/dx = e^x

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