What is the derivative of (x^2+3x-11^{50}) ?

The derivative of (x^2+3x-11^{50}) is 50(x^2+3x-11)^{49}(2x+3)

What is the first derivative of (x^2+3x-11^{50}) ?

The first derivative of (x^2+3x-11^{50}) is 50(x^2+3x-11)^{49}(2x+3)

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\frac{d}{d x} ((x^{2} + 3 x - 11)^{50})

50 (x^{2} + 3 x - 11)^{49} (2 x + 3)

Solution steps

\frac{d}{d x} ((x^{2} + 3 x - 11)^{50})

Apply the chain rule:

50 (x^{2} + 3 x - 11)^{49} \frac{d}{d x} (x^{2} + 3 x - 11)

= 50 (x^{2} + 3 x - 11)^{49} \frac{d}{d x} (x^{2} + 3 x - 11)

\frac{d}{d x} (x^{2} + 3 x - 11) = 2 x + 3

= 50 (x^{2} + 3 x - 11)^{49} (2 x + 3)

\frac{d}{d x} (e^{a t} sin (b t))

\int 3 x^{- 2} d x

\int cos (4 θ) d θ

\int_{2}^{5} x x - 1 d x

y = \frac{t}{4 t - 5}

What is the derivative of (x^2+3x-11^{50}) ?
The derivative of (x^2+3x-11^{50}) is 50(x^2+3x-11)^{49}(2x+3)
What is the first derivative of (x^2+3x-11^{50}) ?
The first derivative of (x^2+3x-11^{50}) is 50(x^2+3x-11)^{49}(2x+3)