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Popular >

derivative of (-x^2+6x-4^5)

Solution

\frac{d}{d x} ((- x^{2} + 6 x - 4)^{5})

Solution

5 (- x^{2} + 6 x - 4)^{4} (- 2 x + 6)

Solution steps

\frac{d}{d x} ((- x^{2} + 6 x - 4)^{5})

Apply the chain rule:

5 (- x^{2} + 6 x - 4)^{4} \frac{d}{d x} (- x^{2} + 6 x - 4)

= 5 (- x^{2} + 6 x - 4)^{4} \frac{d}{d x} (- x^{2} + 6 x - 4)

\frac{d}{d x} (- x^{2} + 6 x - 4) = - 2 x + 6

= 5 (- x^{2} + 6 x - 4)^{4} (- 2 x + 6)

Popular Examples

derivative of (4-3x-x^2/(x^2-6))

\frac{d}{d x} (\frac{4 - 3 x - x ^{2}}{x ^{2} - 6})

sum from n=0 to infinity of 1/((n+1)!)

n = 0 \sum \infty \frac{1}{( n + 1 ) !}

f (x) = 2 x cos (x)

tangent of f(x)=5x^2-6x+1,\at x=2 tangent of

f (x) = 5 x^{2} - 6 x + 1, at x = 2

(sin(θ))(dy)/(dθ)=cos(θ)

(sin (θ)) \frac{d y}{d θ} = cos (θ)

Frequently Asked Questions (FAQ)

What is the derivative of (-x^2+6x-4^5) ?
The derivative of (-x^2+6x-4^5) is 5(-x^2+6x-4)^4(-2x+6)
What is the first derivative of (-x^2+6x-4^5) ?
The first derivative of (-x^2+6x-4^5) is 5(-x^2+6x-4)^4(-2x+6)