Help Martha.

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DescriptionEquation

Derivative of a ConstantDerivative of a Constant

Derivative of a Variable to the First PowerDerivative of a Variable to the First Power

Derivative of a Variable to the nth PowerDerivative of a Variable to the nth Power

Derivative of an ExponentialDerivative of an Exponential

Derivative of an Arbitrary Base ExponentialDerivative of an Arbitrary Base Exponential

Derivative of a Natural LogarithmDerivative of a Natural Logarithm

Derivative of SineDerivative of Sine

Derivative of CosineDerivative of Cosine

Derivative of TangentDerivative of Tangent

Derivative of CotangentDerivative of Cotangent

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

486in is correct

step-by-step explanation: