Calculus Practice Questions - Page 1034

Explore a comprehensive library of Calculus questions, step-by-step solutions, and explanations (Page 1034) on Sovi.AI.

• a tangent to the graph of $y = x^{2}+1$ is parallel to the line $y = x$. find the $y$-coordinate of ...

• find the equation of the tangent to the graph of ( y = 3x^{2}+\frac{1}{x} ) at ( x = 1 ).

• find the gradient of the graph of ( y=(2 - 3x)(1 - x) ) at the point, where ( x = 7 ).

• for some functions, f and g, the graph of f has gradient 2 at the point (5,4) and the graph of g has...

• suppose that ( h(x)=f(x)-2g(x), f(-1)=3 ) and ( g(-1)=-2 ).\nfind ( h(-1) ).

• suppose that ( h(x)=4 f(x)+3 g(x), f^{prime}(1)=2 ) and ( g^{prime}(1)=-1 ).\nfind ( h^{prime}(1) ).

• the derivative of f(x) = 9x³ - 6x⁴ is f(x) = bx^k. find the value of b. give an exact answer either ...

• the derivative of ( f(x)=\frac{8}{2 x^{5}} ) is ( f^{prime}(x)=\frac{b}{x^{k}} ).\nfind the value of...

• the derivative of ( f(x) = 6x^{3} ) is ( f(x) = bx^{k} ). find the value of ( b ). give an exact ans...

• find the derivative of $f(x)=\\frac{x^{2}}{x^{3}}$.

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