Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Intorduces students to the definition of a function $f:A\mapsto B$ as a subset of the Cartesian product $A\times B$.

Differentiate $f(x) = x^m(a x+b)^n$.

Differentiate $f(x) = x^m(a x+b)^n$.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Find the dot product and the angle between two vectors

Given vectors $\boldsymbol{a,\;b}$, find $\boldsymbol{a\times b}$

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No description given

Use the product rule to differentiate various functions.

Integrate the product of two functions by the method of integration by parts.

The derivative of $\displaystyle x ^ {m}(ax^2+b)^{n}$ is of the form $\displaystyle x^{m-1}(ax^2+b)^{n-1}g(x)$. Find $g(x)$.

Differentiate $ \sin(ax+b) e ^ {nx}$.

Differentiate $f(x) = x^m(a x+b)^n$.

Differentiate $ (a+bx) ^ {m} \sin(nx)$

Differentiate $f(x)=x^{m}\sin(ax+b) e^{nx}$.

The answer is of the form:
$\displaystyle \frac{df}{dx}= x^{m-1}e^{nx}g(x)$ for a function $g(x)$.

Find $g(x)$.

Differentiate the function $(a + b x)^m  e ^ {n x}$ using the product rule.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

No description given

No description given

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

No description given

No description given

Given vectors $\boldsymbol{a,\;b}$, find $\boldsymbol{a\times b}$

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Given vectors $\boldsymbol{a,\;b}$, find $\boldsymbol{a\times b}$

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Questions on vector arithmetic and vector operations, including dot and cross product.

Find the dot product and the angle between two vectors

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Find the dot product and the angle between two vectors

Given vectors $\boldsymbol{a,\;b}$, find $\boldsymbol{a\times b}$

rebelmaths