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Popular >

derivative of y=3x^3-5x^2+2x+3

Solution

derivative of

y = 3 x^{3} - 5 x^{2} + 2 x + 3

Solution

9 x^{2} - 10 x + 2

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (3) = 0

= 9 x^{2} - 10 x + 2 + 0

Simplify

= 9 x^{2} - 10 x + 2

Popular Examples

sum from n=101 to infinity of-1/(n(n-1))

n = 101 \sum \infty - \frac{1}{n ( n - 1 )}

limit as x approaches 0-of-e^{1/x}

x \to 0 - lim (- e^{\frac{1}{x}})

tangent of f(x)=5x^2+8,(-3,53)tangent of

f (x) = 5 x^{2} + 8, (- 3, 53)

derivative of (a+b-5x^2+(b+c-7)x+(a+c))

\frac{d}{d x} ((a + b - 5) x^{2} + (b + c - 7) x + (a + c))

tangent of f(x)=x+3/x ,\at x=3 tangent of

f (x) = x + \frac{3}{x}, at x = 3

Frequently Asked Questions (FAQ)

What is the derivative of y=3x^3-5x^2+2x+3 ?
The derivative of y=3x^3-5x^2+2x+3 is 9x^2-10x+2
What is the first derivative of y=3x^3-5x^2+2x+3 ?
The first derivative of y=3x^3-5x^2+2x+3 is 9x^2-10x+2