What is the derivative of f(x)=(3x-2)^5(x+1)^3 ?

The derivative of f(x)=(3x-2)^5(x+1)^3 is 15(3x-2)^4(x+1)^3+3(x+1)^2(3x-2)^5

What is the first derivative of f(x)=(3x-2)^5(x+1)^3 ?

The first derivative of f(x)=(3x-2)^5(x+1)^3 is 15(3x-2)^4(x+1)^3+3(x+1)^2(3x-2)^5

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derivative of

f (x) = (3 x - 2)^{5} (x + 1)^{3}

15 (3 x - 2)^{4} (x + 1)^{3} + 3 (x + 1)^{2} (3 x - 2)^{5}

Solution steps

\frac{d}{d x} ((3 x - 2)^{5} (x + 1)^{3})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = (3 x - 2)^{5}, g = (x + 1)^{3}

= \frac{d}{d x} ((3 x - 2)^{5}) (x + 1)^{3} + \frac{d}{d x} ((x + 1)^{3}) (3 x - 2)^{5}

\frac{d}{d x} ((3 x - 2)^{5}) = 15 (3 x - 2)^{4}

\frac{d}{d x} ((x + 1)^{3}) = 3 (x + 1)^{2}

= 15 (3 x - 2)^{4} (x + 1)^{3} + 3 (x + 1)^{2} (3 x - 2)^{5}

y - 2 y^{^{'}} + y = 0

\frac{d}{d x} (x^{4 c o s (x)})

k = 4 \sum \infty 3 (- \frac{1}{2})^{k}

\int e^{2 x} sin (5 x) d x

y = 55 cos (0.071 x + 0.39) + 63

What is the derivative of f(x)=(3x-2)^5(x+1)^3 ?
The derivative of f(x)=(3x-2)^5(x+1)^3 is 15(3x-2)^4(x+1)^3+3(x+1)^2(3x-2)^5
What is the first derivative of f(x)=(3x-2)^5(x+1)^3 ?
The first derivative of f(x)=(3x-2)^5(x+1)^3 is 15(3x-2)^4(x+1)^3+3(x+1)^2(3x-2)^5