Elements of Differential And Integral Calculus
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In our eReader you can find the full English version of the book. Read Elements of Differential And Integral Calculus Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Differential And Integral Calculus
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A partial differential of a function of sev- eral variables is a diflEerential formed by supposing one of the variables to change while all the others remain constant.
The total differential of a function is its differential when all the variables which enter into it are supposed to change.
A partial derivative of a function with respect to a quantity is its derivative formed by supposing that quantity to change while all the others remain constant.
Eemaek. The adjective partial may be omitted ...when the several variables are entirely independent.
Example. Let us have the function M = a^Xy + «) + y«- (a) Differentiating it with respect to a; as if y and z were con- stant, the result will be du = 2x{y -f z)dz, (b) which is the partial differential with respect to x. Also, is the partial derivative with respect to x.
In the same way, supposing y alone to vary, we shall have du = {x' + z)dy, (c) (£)-•+- PARTIAL DERIVATIVES. 55 which are the partial differential and derivative with respect to y.
What to read after Elements of Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Newcomb Simon to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
A partial differential of a function of sev- eral variables is a diflEerential formed by supposing one of the variables to change while all the others remain constant.
The total differential of a function is its differential when all the variables which enter into it are supposed to change.
A partial derivative of a function with respect to a quantity is its derivative formed by supposing that quantity to change while all the others remain constant.
Eemaek. The adjective partial may be omitted ...when the several variables are entirely independent.
Example. Let us have the function M = a^Xy + «) + y«- (a) Differentiating it with respect to a; as if y and z were con- stant, the result will be du = 2x{y -f z)dz, (b) which is the partial differential with respect to x. Also, is the partial derivative with respect to x.
In the same way, supposing y alone to vary, we shall have du = {x' + z)dy, (c) (£)-•+- PARTIAL DERIVATIVES. 55 which are the partial differential and derivative with respect to y.
What to read after Elements of Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Newcomb Simon to read onlineMoreLess
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