What is the derivative of (19-(15-2x^4)^7)^3 ?

The derivative of (19-(15-2x^4)^7)^3 is

What is the first derivative of (19-(15-2x^4)^7)^3 ?

The first derivative of (19-(15-2x^4)^7)^3 is

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derivative of

(19 - (15 - 2 x^{4})^{7})^{3}

3 (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)^{2} (3584 x^{27} - 161280 x^{23} + 3024000 x^{19} - 30240000 x^{15} + 170100000 x^{11} - 510300000 x^{7} + 637875000 x^{3})

Solution steps

\frac{d}{d x} ((19 - (15 - 2 x^{4})^{7})^{3})

Simplify

(19 - (15 - 2 x^{4})^{7})^{3} : (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)^{3}

= \frac{d}{d x} ((128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)^{3})

Apply the chain rule:

3 (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)^{2} \frac{d}{d x} (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)

= 3 (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)^{2} \frac{d}{d x} (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)

\frac{d}{d x} (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356) = 3584 x^{27} - 161280 x^{23} + 3024000 x^{19} - 30240000 x^{15} + 170100000 x^{11} - 510300000 x^{7} + 637875000 x^{3}

= 3 (128 x^{28} - 6720 x^{24} + 151200 x^{20} - 1890000 x^{16} + 14175000 x^{12} - 63787500 x^{8} + 159468750 x^{4} - 170859356)^{2} (3584 x^{27} - 161280 x^{23} + 3024000 x^{19} - 30240000 x^{15} + 170100000 x^{11} - 510300000 x^{7} + 637875000 x^{3})

(12 x^{2} + y - 1) d x - (6 y - x) d y = 0

x y^{^{'}} + 5 y = 0

f (x) = e^{x y}

x \to 0 lim (\frac{5 ^{x} - 1}{7 x})

\int_{0}^{1} \frac{1}{x ^{2} + 3 x + 2} d x

What is the derivative of (19-(15-2x^4)^7)^3 ?
The derivative of (19-(15-2x^4)^7)^3 is
What is the first derivative of (19-(15-2x^4)^7)^3 ?
The first derivative of (19-(15-2x^4)^7)^3 is