What is the derivative of f(x)=(3x+70)^{50} ?

The derivative of f(x)=(3x+70)^{50} is 150(3x+70)^{49}

What is the first derivative of f(x)=(3x+70)^{50} ?

The first derivative of f(x)=(3x+70)^{50} is 150(3x+70)^{49}

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derivative of

f (x) = (3 x + 70)^{50}

150 (3 x + 70)^{49}

Solution steps

\frac{d}{d x} ((3 x + 70)^{50})

Apply the chain rule:

50 (3 x + 70)^{49} \frac{d}{d x} (3 x + 70)

= 50 (3 x + 70)^{49} \frac{d}{d x} (3 x + 70)

\frac{d}{d x} (3 x + 70) = 3

= 50 (3 x + 70)^{49} \cdot 3

Simplify

= 150 (3 x + 70)^{49}

6 x^{\frac{3}{2}}

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\int 18 t e^{t} d t

5 x^{2} y^{^{'}} = y^{^{'}} + 7 x e - y

What is the derivative of f(x)=(3x+70)^{50} ?
The derivative of f(x)=(3x+70)^{50} is 150(3x+70)^{49}
What is the first derivative of f(x)=(3x+70)^{50} ?
The first derivative of f(x)=(3x+70)^{50} is 150(3x+70)^{49}